Identify the effect on the graph of replacing f(x) by f(x) + k k·f(x) f(kx) and f(x + k) for specific values of k; find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

Sample Practice Questions (3)

The graph of

f (x) = x^{2}

is shown below along with a transformed function

g (x) = f (x) + k

. Based on the diagram, what is the value of

k

k = 3

k = - 3

k = 0

k = 1.5

The graph of

f (x) = x^{2}

is shown in blue. The graph of

g (x) = (x + k)^{2}

is shown in red. What is the value of

k

k = 2

k = - 2

k = 4

k = 0

The function

g (x)

is defined as

g (x) = - f (x)

. If

f (x) = x^{2}

, which graph represents

g (x)

AA parabola opening downward with vertex

(0, 0)

BA parabola opening upward with vertex

(0, 0)

CA parabola opening to the right

DA straight line

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