Consider the quadratic function f(x) = – x² – 3x + 10.

Q: FCKS x? + x-7

A: Given: f(x) = x2 + x - 7 Convert into the form of f(x) = (x - h)2 + k

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: The Range of the quadratic function f(x) = -x² + 18x + 52 is O [-9, 00) O [52, 0) O (0,9] O (-∞0,…

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Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: To put the quadratic function f(x)= ax2 + bx + c instandard form, we complete the____ .

A:

Q: Write the quadratic function f(x) = ax? + bx + c in standard form to verify that the vertex occurs…

A: fx = ax2 + bx + cEquation in standard form = ?

Q: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: What are the x-intercepts of the quadratic function f (x) = x² + 6x –27? %3D O-1 and 27 O-27 and 1…

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Q: Is √Ax²+Bx+C still a quadratic function/equation?

A: Given Question:- Is √Ax²+Bx+C still a quadratic function/equation?

Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-1) = 5, f(1) = 3, and f(2) = 5.

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Q: Consider the quadratic function f(x) - 22 - 4x + 5. |

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Q: Find the vertex of the quadratic f(x) = x2 + 4x + 3 In the box, type the k value

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Q: Consider the following quadratic function. f(x) = −4x2 + 6x − 8 Find the vertex. (x, y)=

A: To determine the vertex of the equation.

Q: Is y = |x| a polynomial function? What about y = |x2 + 1|?

A: Given, y=x Since the Modulus function is not a polynomial function, therefore y=x is not a…

Q: 2. Rewrite the quadratic function y= x²+5x-4 in vertex form.

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Q: Express the quadratic function f(x) = x² - x - 8 in standard form. f(x) = Sketch its graph.

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Q: The table shows projections for the female population of a country (in millions). Year 2015 2040 181…

A: a. If x=0 corresponds to the year 2000. Then, for 2015, x=15 and for 2040, x=40 and for 2050, x=50…

Q: The x-intercept of a quadratic function is at the point (0, c). O True O False

A: SOLUTION-

Q: Consider the Quadratic function f(x) = x² – 3x Its vertex is Its largest -intercept is x = Its…

A:

Q: Use the vertex  (h, k)  and a point on the graph  (x, y)  to find the general form of the equation…

A: Given : (h, k) = (0, 7), (x, y) = (1, 8) Now we find quadratic equation

Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the equation of the…

A: To find:- Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the…

Q: Solve the quadratic for x: f (x) = x² – 7x – 18

A: The formula to find the solutions of the quadratic equation helps to find the required solutions.…

Q: Find the quadratic function f(x) = ax? + bx + c for which f(-2) = -4, f(1) = 2, and f(2) = 0.

A: Given: f(x)=ax2+bx+cf(−2)=−4f(1)=2f(2)=0

Q: Find least square quadratic approximation of function with f(-2) =0 f(-1) =5 f (0) =0 f (1) = – 5 f…

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Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

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Q: Why does the graphy of the quadratic function f(x)=x2+4x+5 cross the y-axis but not the x-axis?

A: The graph the quadratic function crosses y axis because we can put x is equal to zero and get y…

Q: The y-interceptof the quadratic function f(x)=x² - 9x+5 is a) 5 b) -9 c) 1 d) по у - intercepts %3D…

A: We have to find y intercept

Q: Find the vertex of the quadratic function f(x) = 3x2 24x 50 (х, у) 3

A: To determine the vertex of the (parabola) defined by the given quadratic function

Q: 3. Determine the x-intercept(s) of the quadratic function f(x) = x² + 10x + 26

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Q: The vertex of the quadratic function f(x) = 2(x – 1)2 + 6 is

A: We compare the equation with the vertex equation  y=a(x-h)2+k Comparing we get: h=1 and k=6

Q: rewrite the quadratic function in standard form.  h(x)= 2x^2 +4x-10  h(x)= give the vertex…

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Q: To put the quadratic function f(x) = ax + bx + c in standard form, we complete the --Select- Select-…

A: To find: To put the quadratic equation in standard form, we complete the  ________________________

Q: Find the vertex of the graph of the quadratic function. f (x) = -x² + 12r – 36 O (0, 6) O (-6,0) O…

A: Given quadratic function

Q: Find a quadratic function f whose graph matches the one given.

A: Find a quadratic function f whose graph matches the one given.

Q: Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x²…

A: Consider the quadratic equation given in part (a), fx=x2-4x+5 from the graph, it can be observed…

Q: Consider the quadratic function f(x) = –2x2 + 4x + 2. Find the y- intercept and the equation of the…

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Q: Find the quadratic function f(x)=-1/2(x+6)2+8

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Q: Consider the Quadratic function f(x) = x² – 7x – 8. Its vertex is ). Its largest x-intercept is x =…

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Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-2) = -4, f(1) = 2, and f(2) = 0.

A: fx=ax2+bx+c,  f-2=-4,  f1=2  and f2=0. Now put f-2=-4 in fx=ax2+bx+c, we get…

Q: Find the standard form f(x) = a(x – h)² +k__of the quadratic function that has a vertex at and an X…

A: Given that: vertex =-12,-19 and x-intercept =-32,0. To find the standard form of the quadratic…

Q: Consider the following quadratic function. f(x) = 2x2 + 36x + 169 Find the vertex. (x, y)=

A: Consider a quadratic equation

Q: Consider the quadratic function f(x)=x2−1x−6. The line of symmetry has the equation:

A: Given quadratic equation is,f(x)=x2−1x−6.For any quadratic equation of the form ax2+bx+c, the axis…

Q: Consider the Quadratic function f(x)=3x^2−12x−66 its zeros are x=

A: Given : fx = 3x2-12x-66

Q: the vertex of Quadratic function f( x) = 2x2 - 4x + 1 is : Select one: a. (1,-1) b. (-1,1) c. (-1,…

A: Given : f(x) = 2x2 - 4x + 1 Vertex of f(x) = ?

Q: Sketch the quadratic f(x) = (x-4)² - 5 main points from the parent function, appropriate manner.

A: Topic:- function

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A: The quadratic function one have to use here is y=a(x-h)2+k

Q: Find the local extrema of the cubic functionf(x)=x3−3x2−9x+2.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.