Question

Given an equation in vertex form how would you determine which way the graph is opening?

Answer 1

Answer:

A) open up if $a$ is positive .

B) open down if $a$ is negative.

Step-by-step explanation:

If you are given a quadratic in vextex form, $y=a(x-h)^2+k$, then the parabola is:

A) open up if $a$ is positive .

B) open down if $a$ is negative.

Answer 2

Answer:

See below.

Step-by-step explanation:

The coefficient of x^2 will tell you this. If it is positive the graph opens upwards , negative it will open downwards.

For example

-(x - 4)^2 + 1  will open downwards and (x - 4)^2 + 1 will open upwards.