Question

question 3
match the following special types of lines to the corresponding slo
vertical line choose
horizontal line choose
question 4
what is the parent function of the equation $y = 2x^2 + 5x - 7$
absolute value

Explanation:

Question 3

For a vertical line, the slope is undefined because the change in x (run) is 0, and division by 0 is undefined (slope formula is $m=\frac{\Delta y}{\Delta x}$, and $\Delta x = 0$ for vertical lines). For a horizontal line, the slope is 0 because the change in y (rise) is 0, so $m=\frac{0}{\Delta x}=0$ (where $\Delta x
eq0$).

Step1: Recall parent function types

Parent functions are the simplest form of a function in a family. The given equation is $y = 2x^2+5x - 7$, which is a quadratic function (degree 2). The parent function for quadratic functions is $y = x^2$. The "Absolute Value" function has the form $y=|x|$, which is not related here.

Answer:

Vertical Line: Undefined Slope
Horizontal Line: Slope = 0

Question 4