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Hi I need help with this math problem, i’m in high school calculus 1

Hi I need help with this math problem, i’m in high school calculus 1-example-1
User Synesso
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1 Answer

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19 votes

Step 1:

When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.

Step 2

Parent function y = f(x)

In general, a vertical stretch is given by the equation

y=bf(x). If b>1, the graph stretches with respect to the y-axis, or vertically. If b<1, the graph shrinks with respect to the y-axis.

The function becomes y = 1.4f(x) when trainsform vertically

The function is shifted 3 units to the left and it becomes y = 1.4f(x + 3)

Final answer

y = 1.4f(x + 3)

User VBlades
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