Write the equation of the function whose graph is shown. y =_ (x + _ )^2 +_

y = 1(x + (-5))² + 3

Step-by-step explanation:

The vertex form of the equation for a parabola is ...

... y = a(x -h)² +k

for vertex (h, k).

The value of "a" represents the vertical expansion factor.

Here, the vertex is given as (5, 3), so the equation is ...

... y = a(x -5)² +3

The point (8, 12) is also on the curve, allowing us to find the value of "a". Substituting those values for x, and y, we have ...

... 12 = a(8 -5)² +3

... 9 = 9a . . . . . . . . subtract 3

... 1 = a . . . . . . . . . . divide by 9

In the form required by the problem, the equation is ...

... y = 1·(x + (-5)) + 3

f

step-by-step explanation:

f

c

step-by-step explanation:

c