If you shift the absolute value parent function, F(x) = |x|, left 4 units, what is the equation of the new function?

The equation of new function is: G(x)=|x+4|

Step-by-step explanation:

We are given:

If you shift the absolute value parent function, F(x) = |x|, left 4 units,

We need to find:

the equation of the new function

We know that: If we have parent function f(x) and g(x)=f(x+c) there will be horizontal translation left c units.

We are parent function, F(x) = |x|

So, Our function went translation of 4 units left

So, the new function will be:

G(x)=|x+4|

So, The equation of new function is: G(x)=|x+4|

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5