Question

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value. two parabolas open up with f of x passing through negative 3 comma negative 3 and g of x passing through negative 3 comma 5 k = −3 k = 3 k = 5 k = 8

Answer 1

Answer:

k = 8

Step-by-step explanation:

I got it right on the test

Answer 2

The value of k in the equation g(x) = f(x) + k comes out to be 8.

How the vertical shifting of a graph takes place?

If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.

From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units

If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).

So, g(x) = f(x) + 8........(1)

Comparing (1) and g(x) = f(x) + k, we get k=8.

Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.

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