Alg. 2 Semester 1 Topics

What is the parent function of a quadratic?

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

• 2

• -2

• 1

• -1

What is the vertex of this parabola?

• (0, 5)

• (2, 1)

• (-1, 2)

• (-2, 1)

Check all the intervals where this graph is decreasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Solve

a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Solve:

5x² - 7 = 173

• x = 36

• x = 6

• x = 36 or x = -36

• x = 6 or x = -6

Solve:

3x² + 18 = 6

• x = 4 or x = -4

• x = 2 or x = -2

• No solutions

• x = 8 or x = -8