Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.
[tex]2x+3=0[/tex]
[tex]x=-\frac{3}{2}[/tex]
Now add 10 to this x coordinate , we get x1=[tex]10-3/2[/tex]=[tex]17/2[/tex]
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get [tex]0=2*17/2-k[/tex]
k=17
