rfaelfgcn
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

quadratic function with (-2,4) as the vertex and passes through (-4,-4)

Sagot :

-2x^2 + 8 because if you turn it into vertex form and determine
semsee45

Answer:

[tex]f(x)=-2x^2-8x-4[/tex]

Step-by-step explanation:

Vertex form of quadratic function:  [tex]f(x)=a(x-h)^2+k[/tex]

where [tex](h,k)[/tex] is the vertex

Given:

  • vertex = (-2, 4)

[tex]\implies f(x)=a(x+2)^2+4[/tex]

Given:

  • point on curve = (-4, -4)

[tex]\implies f(-4)=-4\\\\\implies a(-4+2)^2+4=-4\\\\\implies a(-2)^2=-4-4\\\\\implies 4a=-8\\\\\implies a = -2[/tex]

Therefore,

[tex]f(x)=-2(x+2)^2+4\\\\\implies f(x)=-2(x^2+4x+4)+4\\\\\implies f(x)=-2x^2-8x-8+4\\\\\implies f(x)=-2x^2-8x-4[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.