Question

Identify the graph of the polynomial function $f$
$f\left(x\right)=x^2+2x-3$

• A. graph a
• B. graph b
• C. graph c
• D. graph d

Answer 1

The correct option is A graph a

Let $y=x^2+2x-3$

The graph of $f\left(x\right)$ in this example is the graph of $y=x^2+2x-3$. It is easy to generate points on the graph.

Choose a value for the first coordinate, then evaluate $y$ at that number to find the second coordinate.

The several values for $x$ and the function $y$ evaluated at those numbers.

If $x=0$, then $y=(0{)}^2+2(0)-3=0+0-3=-3$implies the point is $(0,-3)$.

If $x=1$, then $y=(1{)}^2+2(1)-3=1+2-3=0$implies the point is $(1,0)$.

If $x=-1$, then $y=(-1{)}^2+2(-1)-3=1-2-3=-4$implies the point is $(-1,-4)$.

Hence, the graph of the function is shown above.