Unit 3 Test 1 Review

Front

What is the range of the absolute value function f(x) = |x + 3|?

Back

The range is [0, ∞).

Front

If x = -9, what is the y value of the function f(x) = |x + 3|?

Back

The y value is -3.

Front

What does a vertical stretch of a function by a factor of 2 do to the graph?

Back

It makes the graph steeper, stretching it vertically by a factor of 2.

Front

What is the effect of a horizontal shift left by 1 unit on the function f(x) = |x|?

Back

The function becomes f(x) = |x + 1|.

Front

Describe the transformation of the equation y = -2|x - 3| + 3 from the parent function y = |x|.

Back

It is reflected across the x-axis, vertically stretched by 2, shifted right 3 units, and shifted up 3 units.

Front

How do you write an absolute value function with a vertical stretch of 2, a horizontal shift left 1 unit, and a vertical shift down 9 units?

Back

The function is f(x) = 2|x + 1| - 9.

Front

What is the parent function of the absolute value function?

Back

The parent function is f(x) = |x|.

Front

What does it mean for a function to be reflected across the x-axis?

Back

It means that the y-values of the function are multiplied by -1.

Front

What is the effect of a vertical shift up 3 units on the function f(x) = |x|?

Back

The function becomes f(x) = |x| + 3.

Front

What is the domain of the absolute value function f(x) = |x + 3|?

Back

The domain is all real numbers, (-∞, ∞).