Question

Write the English sentence as an equation in two variables. Then graph the equation.

The y-value is eight decreased by the square of the x-value.

The sentence can be translated to the equation ?

Use the graphing tool to graph the equation.

Answer 1

y = 8-x²

Explanation:

We have given a statement.

The y-value is eight decreased by the square of the x-value.

We have to write it in algebraic form.

square of the x-value = x²

Decreased shows subtraction and denoted by negative sign ( - ).

Hence, the statement can be written in the form of

y = 8-x² which is the answer.

Answer 2

y = 8 - x^2

Explanation:

"Decreased by ..." means whatever follows is subtracted from whatever came before. "Is" means "equals." So, the square of the x-value (x^2) is subtracted from 8:

y = 8 - x^2