
Candace S. answered 03/03/16
Tutor
4.9
(28)
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Hi Carrie,
Find the axis of symmetry of the given function g(x) = 9x² - 90x + 228
1) x = 5
2) x = 0
3) x = -3
4) x = 3
1) x = 5
2) x = 0
3) x = -3
4) x = 3
The axis of symmetry for a quadratic equation is a vertical line and uses the x-coordinate of the vertex.
The x-coordinate of the vertex can be found using the formula
x=-b
---
2a
for g(x) = 9x² - 90x + 228
a=9
b=-90
c=228
The x-coordinate of the vertex can be found using the formula
x=-b
---
2a
for g(x) = 9x² - 90x + 228
a=9
b=-90
c=228
x=-(-90)
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2(9)
x= 90
---
18
x=5
ANSWER: Therefore, answer A is the correct response.