Answer:
f(x) on x = 4
h(x) on x = -2
Step-by-step explanation:
for h(x) the axis of symmetry is x = -2 based on the graph
for f(x) = -2(x-4)² + 2 we must find for x intercept so take f(x) = 0
0 = -2(x-4)² + 2
-2 = -2(x-4)²
-2/-2 = (x-4)²
1 = (x-4)²
x-4 = √1
x-4 = 1 and x-4 = -1
so
x - 4 = 1
x = 5
x - 4 = -1
x = 3
so x intercept occured in x = 3 and x = 5
so the symmetry axis is in the middle x =4
(actually there's an easiest way, you can find the x axis from the form of y = a(x+b)² + c. The x-axis must be -b)
