Question

Which quadratic inequality does the graph below represent?

Answer 1

Hi,

answer A: y ≤ 2x²-8x+3

Explanation:

1) equation of the parabola :
passing trough (0,3)

vertex (2,-5)

`y=k(x-2)^2-5\\3=k(0-2)^2-5 \Longrightarrow\ k=2\\\\The\ equation\ is \ y=2(x-2)^2-5\ or\ y=2x^2-8x+3\ or\\\\\boxed{ y-2x^2+8x-3=0}\\`

The "region" of (0,0) equal -3 which is negative.

y-2x²+8x-3 ≤ 0 or

y ≤ 2x²-8x+3