Answer:
Graph A
Step-by-step explanation:
The first step is to expand the parentheses with FOIL:
[tex](x-2)(x+5)=x^2-2x+5x-10=x^2+3x-10[/tex]
Now, you can turn it into vertex form by completing the square:
[tex](x^2+3x+\frac{9}{4})-\frac{9}{4}-10=[/tex]
[tex](x+\frac{3}{2})^2-\frac{49}{4}[/tex]
This defines a parabola with a shift to the left of [tex]\frac{3}{2}[/tex] units and a shift down of [tex]\frac{49}{4}[/tex] or [tex]12 \frac{1}{4}[/tex] units. This describes graph A. Hope this helps!
