What is the quadratic function that is created with roots -3 and 1 and a vertex at (-1, -8)?

Question

peachpi · Answer

quadratic function with known roots:
$$f(x)=a(x-p)(x -q)$$
where p and q are the roots.

So your function is
$$f(x)=a(x+3)(x-1)$$
Plug in the vertex and solve for $a$

peachpi · Answer

ANOTHER WAY TO DO THIS.

quadratic function with known vertex:
$$f(x)=a(x-h)^2+k$$
where (h, k) is the vertex

So your function is$$f(x)=a(x+1)^2-8$$
Plug in one of the roots and solve for $a$

You'll get the same function with either method.

chevyexpress1962 · Answer

Thank you

likeabossssssss · Answer

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