Write the quadratic function in f(x)= a(x-h)^2+k form whose graph is shown.

f(x)=

f(x) = - (x - 2)² + 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 2 ), thus

y = a(x - 2)² + 2

To find a substitute the point (0, - 2) into the equation

- 2 = a(- 2)² + 2 ( subtract 2 from both sides )

- 4 = 4a ( divide both sides by 4 )

a = - 1

Thus

f(x) = - (x - 2)² + 2

answer: b.48 for

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,