Answered

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

Sagot :

Answer:

x=9 and x=5

OR

(9,0) and (5,0)

Step-by-step explanation:

Use vertex form to solve for the unknown variable

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

Use the new equation to find the x-intercepts

[tex]y=3(x-7)^2-12\\\\0=3(x-7)^2-12\\\\12=3(x-7)^2\\\\4=(x-7)^2[/tex]

[tex]2=x-7\\9=x[/tex]

[tex]-2=x-7\\5=x[/tex]

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

View image goddessboi
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