Question

The graph shows the parent function f(x) = x. Describe how the y-intercept changes when the graph is shifted, using the equations listed. (MAFS.912. F.BF.2.3) (MAFS.912.F-IF.3.7a) a. ()=+5 b. ℎ()=― 10

Answer 1

$f(x)=x$

The y-intercept is the value of the function when it cross the y axis. When x is 0

In the parent function the y-intercept is 0

$\begin{gathered} f(x)=x \\ f(0)=0 \end{gathered}$

In g(x)

$\begin{gathered} g(x)=x+5 \\ g(0)=0+5 \\ g(0)=5 \end{gathered}$

the y-intercept is 5. Respect to the parent function, y-intercept is 5 units up (in y-axis)

In h(x)

$\begin{gathered} h(x)=x-10 \\ h(0)=0-10 \\ h(0)=-10 \end{gathered}$

The y-intercept is -10. Respect to the parent function, y-intercpet is 10m units down (in y-axis)

In purple: parent function f(x)

In black: function g(x)

In red: function h(x)