Algebra 2 Chapter 4 Review

How do you graph the function f(x) = -4x^2

• Start at (0,0) and create a table. Parabola will go downward.

• Start at (0,0) then count up four over one.

• Create a table and the parabola will go upward.

What is the vertex and axis of symmetry for f(x) = -(x - 7) ^2 -28

• Vertex (-7, 28) Axis of symmetry x = -7

• Vertex (-7, -28) Axis of symmetry x = 7

• Vertex (7, -28) Axis of symmetry x = -28

• Vertex (7, -28) Axis of symmetry x = 7

Write the equation of the parabola in vertex form. Vertex (0,2), point (1,-5)

Write the function in vertex form. y=x^2 + 5x -9

Identify the vertex and the range of the parabola. y = -x^2 - 6x -10

• Vertex (-3, 1) Range y ≤ 1

• Vertex (3, 1) Range y ≤ -3

• Vertex (-3, -1) Range y ≤ -1

When graphing the function y = x^2 + 4x + 5. What all steps should you take? Mark all that apply.

• Find the vertex x = -b/2a

• Plug in numbers

• The graph faces upward

• y-intercept (0,c)

• Rewrite the formula.

Factor by using the difference of two squares formula. x^2 - 9

Factor the following expression. x^2 + 9x + 20

Factor the expression. 8x^2 + 18x + 9

Factor the following expression. x^2 - 81