Question

Finish the steps below to write a quadratic function for the parabola shown. Use the vertex form, f(x) = a(x – h)2 + k, and substitute in the values for h and k. f(x) = a(x – 5)2 + 3 Use another point and substitute in values for x and f(x). Solve for a. 5 = a(6 – 5)2 + 3 Write the function, using the values for h, k, and a. The function is f(x) = (x – )2 + .

Answer 1

Answer:

Step-by-step explanation:

Given equation: 5 = a(6 - 5)^2 + 3

Compare the equation with standard form: f(x) = a(x - h)^2 + k

Thus we get, f(x) = 5,  x = 6, h = 5 and k = 3

Solve the given equation 5 = a(6 - 5)^2 + 3 for 'a':

==> 5 = a*(1)^2 + 3

Subtract 3 from both sides,

==> 5 - 3 = a*1

==> 2 = a

Thus we get a = 2

Plug in a = 2, h = 5 and k = 3 in standard form: f(x) = a(x - h)^2 + k

This gives, f(x) = 2(x - 5)^2 + 3

Answer 2

Answer:

k

Step-by-step explanation: