Parent Functions Transformations and End Behavior

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Describe the transformation of y = (x - 4)²

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

Describe the transformation of y = x² + 4

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

• None of the above

As x → -∞, Y → ______?

• ∞

• -∞

• Neither

• Both -∞  and ∞

As X → -∞, f(x) →______?

• ∞

• -∞

• Neither

• Both  ∞ & -∞

What is the end behavior?

• As x increases, y increases
  As x decreases, y decreases

• As x increases, y decreases
  As x decreases, y increases

Describe the end behavior of the graph.

• x → +∞, y→ +∞ and

  x→ +∞, y→⁻∞

• x → +∞, y→ +∞ and

  x→⁻∞, y→+∞

• None of these

• x →+∞,y→⁻∞ and

  x→+∞, y→⁻∞

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞