Question

In any form, if > 0, then the graph opens ______________. If < 0, then the graph opens ___________. The graph gets ________________ as || gets larger. The graph gets ________________ as || gets smaller.

a) upward, downward, steeper, flatter
b) downward, upward, flatter, steeper
c) upward, downward, flatter, steeper
d) downward, upward, steeper, flatter

Answer 1

If > 0, graph opens upward. If < 0, graph opens downward. Graph gets steeper as || gets larger. If a < 0, the graph gets steeper as |a| decreases.

Step-by-step explanation:

If the graph of a function opens upward (concave up), then the value of the leading coefficient (a) in the function is greater than 0.

On the other hand, if the graph opens downward (concave down), the value of the leading coefficient (a) is less than 0.

The graph gets steeper as the absolute value of the leading coefficient (a) gets larger.

For example, if a > 0, the graph gets steeper as a increases.

If a < 0, the graph gets steeper as |a| decreases.