Graph the function g(x)= (x-2)(x+4)

Answer 1

Hi!

This quadratic function is given in intercept form.

First, you can find the x-intercepts by setting each factor equal to zero and solving for x. This gives x = 2 and x = -4. Now, plot the points (2,0) and (-4,0) on your graph.

Next, you’ll need to find the vertex. The x-coordinate of the vertex is always halfway between the x-intercepts. Take the average of 2 and -4 to find this value. You should get -1. Now, to find the y-coordinate of the vertex, plug -1 back into your original equation. This gives -9. Thus, the vertex is (-1,-9). Plot this point.

Lastly, connect your points! Your graph should look like an upward opening parabola.

Let me know if you have any more questions!

Stephanie