Question

I need help creating a quadratic equation in the form y = ax2 + bx + c. Use complete sentences and show all work to determine the following:
1) Does the graph open up or down? How do you know?
2) Explain whether the graph has a maximum or minimum point.
3) Find the vertex and x-intercepts of the graph.

Answer 1

2) if it is open up, it has a minimum and
if it is open down, it has a maximum .

Answer 2

1) If a is positive, graph is up.
If a is negative, graph is down.

Answer 3

To find the x- axis intercept,
use the quadratic formula OR ANY OTHER to find the roots,
If 1 root then it means minimum OR maximum is on the axis,
If 2 roots then it shows 2 points on the axis ,
If no roots are possible then , axis is not intercepted .
Understood @emmaclausen ? :)

Answer 4

Yes thank you so much!

Answer 5

as long as you understand .. no mention ;)