Suppose that F (x) = x2 and G (x) = - 1/3 (x+4) 2. Which statement best compares the graph of G (x) with the graph of F (x)

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Mathematics

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6 May, 16:27

Suppose that F (x) = x2 and G (x) = - 1/3 (x+4) 2. Which statement best compares the graph of G (x) with the graph of F (x)

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Sienna Roman · Answer 1

Compress the graph

Flip the graph

Shift the graph 4 units to the left

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left (+) and right (-). Adding/subtracting outside the parenthesis to the output shifts the function up (+) and down (-). Multiplying the function by a number less than 1 compresses it towards the x-axis. Multiplying the function by a number greater than 1 stretches it away from the x-axis.

This graph has been multiplied by - 1/3 which is less than 1. It will be compressed.

It will also flip the graph since it is changing to a negative and be an upside down U.

This graph has x added to by 4. It will shift left 4 units.