Exploring Parent Functions in Algebra I

This video tutorial by Kirk Wyler from eMath Instruction covers Unit 10, Lesson 1 on parent functions. It introduces the concept of parent functions and explores various types, including absolute value, quadratic, exponential, and square root functions. The video explains how to graph these functions, discusses their properties, and introduces transformations. It also covers complex square root functions and provides insights into their behavior using tables and graphs.

What is the simplest form of the absolute value function?

• y = x^2

• y = |x|

• y = √x

• y = 2^x

What is the turning point of the absolute value function y = |x|?

• (1, 1)

• (-1, -1)

• (0, 1)

• (0, 0)

What is the simplest form of the quadratic function?

• y = 2^x

• y = |x|

• y = √x

• y = x^2

What shape does the graph of y = x^2 form?

• A V-shape

• A circle

• A straight line

• A parabola

What happens to the graph of y = 2^x as x increases?

• It forms a parabola

• It decreases

• It remains constant

• It increases

What is the shape of the graph of y = 2^x often described as?

• A straight line

• A hockey stick

• A circle

• A V-shape

Why are there no output values for negative x in the function y = √x?

• Because the function is undefined for negative x

• Because the square root of a negative number is not a real number

• Because the function only accepts positive inputs

• Because the function is linear

What type of numbers are the square roots of non-perfect squares?

• Rational numbers

• Whole numbers

• Integers

• Irrational numbers

What is the range of the function y = 2√(x + 4) - 3?

• y ≥ -3

• y ≤ -3

• y ≥ 0

• y ≤ 0

What is the y-intercept of the function y = 2√(x + 4) - 3?

• (0, 0)

• (0, 1)

• (1, 1)

• (1, 0)