Question

Which adjustment would turn the equation y= -3x^2+4 into a linear function

Answer 1

Answer: Third option.

Step-by-step explanation:

It is important to know the following:

1. The Slope-Intercept form of a Linear function is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Notice  that the highest exponent of the variable "x" is 1.

2. The General form of a Quadratic function is:

$y=ax^2 + bx + c$

Where "a", "b" and "c" are known values ($a\neq 0$)

Notice that that the highest exponent of the variable "x" is 2.

The equation given in the exercise  is:

$y= -3x^2+4$

Observe that highest exponent of the variable "x" is 2. Therefore, it is a Quadratic equation.

Therefore, making an exponent 1 instead of the exponent 2 would turn the given equation into a Linear function.