Parent Functions

Graph the parent function of a quadratic equation.

• The parent function of a quadratic equation is y = x^2.

• The parent function of a quadratic equation is y = 2x^2.

• The parent function of a quadratic equation is y = x^3.

• The parent function of a quadratic equation is y = x + 1.

Explain the domain and range of the absolute value function.

• Domain: (-∞, 0], Range: (-∞, 0]

• Domain: [0, ∞), Range: [0, ∞)

• Domain: [0, ∞), Range: (-∞, ∞)

• Domain: (-∞, ∞), Range: [0, ∞)

Analyze the behavior of the exponential function.

• The exponential function grows exponentially as the input values increase and decays exponentially as the input values decrease.

• The exponential function remains constant regardless of the input values.

• The exponential function oscillates between positive and negative values.

• The exponential function decreases linearly as the input values increase.

Tags

CCSS.HSF-IF.C.8B

Identify the parent function of a cubic equation.

• Cubic function f(x) = ax^3 + bx^2 + cx + d

• Quadratic function f(x) = ax^2 + bx + c

• Linear function f(x) = ax + b

• Exponential function f(x) = a^x

Explain the domain and range of the square function.

• Domain: Only positive real numbers, Range: All real numbers

• Domain: All real numbers, Range: Non-negative real numbers including zero

• Domain: All real numbers, Range: Positive real numbers

• Domain: Integers, Range: Non-negative real numbers

Explain the domain and range of the exponential function.

• Domain: All positive real numbers, Range: All real numbers

• Domain: All real numbers, Range: All negative real numbers

• Domain: All real numbers, Range: All positive real numbers

• Domain: All integers, Range: All positive real numbers

• Constant

• Logarithmic

• Absolute Value

• Rational

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Which parent function matches the graph?

• f(x) = x
• f(x)= x²
• f(x) = |x|
• f(x) = ab^x