Question

The quadratic y = -x^2 + 6x -3 opens in which direction?

Upward
Downward
Left
Right

Answer 1

Downward

Explanation:

It's best to plot these on a graphing calculator or on line to get a sense of what it will look like.

but the basic rules for quadratic equations are:

If y is isolated (i.e. y = x^2....), it's going to be upward or downward.

- If the signs for x and y are the same it will open upward

- If the signs for x and y are opposite it will open downward

If x is isolated (i.e. x = y^2....), it's going to be left or right.

- If the signs for x and y are the same it will open right

- If the signs for x and y are opposite it will open left

In this case it will be downward

Answer 2

The quadratic y = -x^2 + 6x - 3 opens in the Downward direction. The coefficient of the x^2 term is negative, which means the parabola opens downward.