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sesenic [268]
2 years ago
8

Find the x-intercepts of the parabola with vertex (7,-12) and y-intercept (0,135).

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
8 0

Answer:

x=9 and x=5

OR

(9,0) and (5,0)

Step-by-step explanation:

<u>Use vertex form to solve for the unknown variable</u>

y=a(x-h)^2+k\\\\135=a(0-7)^2-12\\\\147=a(-7)^2\\\\147=49a\\\\3=a

<u>Use the new equation to find the x-intercepts</u>

<u />y=3(x-7)^2-12\\\\0=3(x-7)^2-12\\\\12=3(x-7)^2\\\\4=(x-7)^2

2=x-7\\9=x

-2=x-7\\5=x

Therefore, the x-intercepts of the parabola are (9,0) and (5,0). Feel free to review the attached graph for more information.

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