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Transforming the graph of a quadratic, cubic, square root, or absolute value function

Transforming the graph of a quadratic, cubic, square root, or absolute value function-example-1
User Literal
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1 Answer

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Step-by-step explanation:

If we have a function g(x) = -f(x), then g(x) will be f(x) reflected across the x-axis.

If g(x) = f(x) - c, g(x) will be f(x) shifted c units down

If g(x) = f(x + c), g(x) will be f(x) shifted c units to the left.

In this case, the initial function is f(x) = |x| and g(x) = -|x + 3| - 2, then

g(x) = -f(x + 3) - 2

Therefore, g(x) will be the initial function reflected across the x-axis, shifted 3 units to the left and 2 units down.

Answer:

So, the graph for y = -|x + 3| - 2 will be:

Transforming the graph of a quadratic, cubic, square root, or absolute value function-example-1
User Alytrem
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