rfaelfgcn
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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]

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.