Readiness Assessment #4

What are the coordinates of the vertex of y = (x − 5)² − 2?

• (5, 2)

• (5, −2)

• (−5, 2)

• (−5, −2)

What are the coordinates of the vertex of y = −x² + 7?

• (0, 7)

• (7, 0)

• (0, −7)

• (−7, 0)

What are the coordinates of the vertex of y = −(x + 1)²?

How does the graph of

g(x) = −(x³ − 4) + 6 differ from the graph of f(x) = x³? Select all that apply.

• g is a reflection of f.

• g is stretched vertically.

• g is translated left 4 units.

• g is translated up 10 units.

How does the graph of g(x) = 2x³ + 8 differ from the graph of f(x) = x³? Select all that apply.

• g is a reflection of f.

• g is stretched vertically.

• g is translated right 8 units.

• g is translated left 8 units.

• g is translated up 8 units.

• x ≠ 2

• −∞ < x < ∞

• −∞ < x < 1, x = 2

• −∞ < x < 1, 2 ≤ x < ∞

• x > −2

• −∞ < x < ∞

• x ≠ −1, x ≠ 2

• −∞ < x < −1, 2 < x < ∞

. What is the domain of y = |2x + 5| − 1?

• x ≥ 1

• x ≥ −1

• x ≤ −3, x ≥ −2

• −∞ < x < ∞

What is the domain of x = −9y²?

• −∞ < x ≤ −3

• −∞ < x ≤ 0

• −∞ < x < ∞

• 0 ≤ x < ∞

Add (4x⁵ − 3x⁴ − 7x³ + 7x²) + (5x⁴ + x³ − 2x + 1).

Enter answer in standard form. Use x^5 for x⁵, and so on for exponents.