Question

write a quadratic function whose graph satisfies a.o.s is x=2 and range is y is greater than or equal to -9 and explain how. please, i've been stuck for hours and i have a math test tomorrow

Answer 1

The a.o.s of the quadratic function is:

$x=2$

And the range is:

$\text{Ran}_f=\lbrack-9,\infty)$

Then, the vertex of the parabola should be:

$V=(2,-9)$

And it opens upwards. Then, using the vertex form of the quadratic function:

$f(x)=(x-2)^2-9$