Draw a graph the function and find the value of x that produces the maximum
Answer:
f(-3) = -9.
Step-by-step explanation:
The equation of the curve in vertex form is:
f(x) = a(x + 3)^2 - 9 a is positive as the parabola opens up.
It passes through the point (1.5, 4), so
4 = a(1.5 + 3)^2 - 9
20.25a = 13
a = 13/20.25
a = 0.6420.
So the equation of the graph is
0.6420(x + 3)^2 - 9.
f(-3) = 0.6420(-3 + 3)^2 - 9
= 0.642*0 - 9.
= -9.
Answer:
x = 30
Step-by-step explanation:
30 + 2x = 90
2x = 60
x = 30