Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k =

k=3

Step-by-step explanation:

Given f(x) and g(x) = f(x) + k

We have to look at the graph and determine the value of k.

as we can clearly see in the graph that:

f(0)=2 and g(0)=5

Hence, it must satisfy the equation

i.e. g(0)=f(0)+k

     5=2+k

Hence, k=3

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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