Answer
Vertex=(0,0)
1st x-intercept=(0,0)
2nd x-intercept=(0,0)
Work Step by Step
Our function is $f(x)=2|x|+3$
We can write the function in the form $f(x)=a|x−h|+k$
We can conclude that:
$a=2$
$h=0$
$k=3$
$Vertex=(h,k)=(0,3)$
To find the x-intercepts we substitute y for 0.
$0=2|x|+3$
Then you solve the equation.
Subtract 3 on both sides
$-3=2|x|$
Divide 2 on both sides
$=|x|$
Two possibilities:
possibility 1:
$x=0$
possibility 2:
$x=0$
Therefore the 2 x-intercepts are $(0,0)$ and $(0,0)$
