Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.