Question

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

Answer 1

A) open up if
`a` is positive .

B) open down if
`a` is negative.

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

See below.

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.