Question

Analyze the effects on the graph of f(x) = 10x that result from the parameter changes in the function, h(x) = 5(10)x–2 + 6. Explain how each transformation appears in the equation and its effect on the original function, f(x) = 10x. Be sure to use mathematical language in your explanation.

Answer 1

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Explanation:

Answer 2

The transformation includes

• vertical translation.

• vertical stretch

• horizontal translation.

Analysis of the functions

Given data

f(x) = 10ˣ

h(x) = 5(10)ˣ⁻² + 6

Translation 6 units up: The constant term +6

Stretch factor of 5 units: a stretch factor of 5 is gotten from constant outside the exponential term

Translation 2 units to the right: This is ensure by the exponent (x - 2)

complete question

Analyze the effects on the graph of f(x)=10^x that result from the parameter changes in the function, h(x)=5(10)^(x-2)+6. Explain how each transformation appears in the equation and its effect on the original function, f(x)=10^x. Be sure to use mathematical language in your explanation.