Exploring Parent Functions and Their Transformations

Mrs. Yaod introduces Algebra 1 students to parent functions and function transformations. She emphasizes the importance of taking notes as the material is not in their journals. The lesson covers various parent functions, including constant, linear, absolute value, quadratic, exponential, and square root functions. Mrs. Yaod explains how to transform these functions through shifts, stretches, and reflections, using examples and graphing tools. The video concludes with a reminder to keep notes accessible for future reference.

What is the output of the function f(x) = k, where k is a constant, regardless of the input?

• The output is always 0.

• The output is always 1.

• The output varies with the input.

• The output is always k.

Which of the following describes the parent function f(x) = x?

• A horizontal line crossing the y-axis at k.

• A line with a slope of 1 and a y-intercept of 0.

• A U-shaped graph with a vertex at (0,0).

• A V-shaped graph with a vertex at (0,0).

What is the shape of the graph of the parent function f(x) = |x|?

• A U-shaped graph.

• A V-shaped graph.

• A line with a slope of 1.

• A horizontal line.

What is the vertex of the parent function f(x) = x^2?

• (1,1)

• (3,9)

• (0,0)

• (2,4)

Which of the following is true about the function f(x) = 2^x?

• It is a square root function.

• It is an exponential function.

• It is a quadratic function.

• It is a linear function.

Why can't the function f(x) = √x have negative inputs?

• Because the square root of a negative number is zero.

• Because the square root of a negative number is imaginary.

• Because the square root of a negative number is positive.

• Because the square root of a negative number is undefined.

What happens to the graph of a function when a number is added inside the function?

• It shifts up.

• It shifts down.

• It stretches vertically.

• It shifts left or right.

If a function is shifted down by 3 units, what transformation has occurred?

• A number was subtracted outside the function.

• A number was added inside the function.

• A number was subtracted inside the function.

• A number was added outside the function.

What effect does multiplying a function by a number greater than 1 on the outside have?

• It shifts the function right.

• It shifts the function left.

• It vertically stretches the function.

• It horizontally compresses the function.

What happens to a function if it is multiplied by a negative number on the outside?

• It reflects over the y-axis.

• It shifts down.

• It shifts up.

• It reflects over the x-axis.