Question

bookmarksProdigySIS Grades and Attenda...Nearpod - Classifyi...Vocational Assess..G ExploreLe1. The sliders for y= a 2 + b have been set to create the following graph. What are possible values

Answer 1

First we can find the value of b, which is the y-intercept of the function.

Using the point (0, 2), we have that:

$\begin{gathered} y=a|x|+b \\ \\ 2=a\cdot0+b \\ b=2 \end{gathered}$

Now, in order to find the value of 'a', we can use the point (2, -2):

$\begin{gathered} -2=a|2|+b \\ -2=2a+2 \\ 2a=-4 \\ a=-2 \end{gathered}$

So the values of 'a' and 'b' are a = -2 and b = 2.