Algebra 2 Topic 2 Quadratics Study Guide

Consider the function given. f(x) = −3x² + 5x − 6 What is the equation for the axis of symmetry of this function?

(a)  

• x = -5/6
• x = -5/3
• x = 5/6
• x = 5/3

A quadratic function is represented by the equation f(x) = x² − 6x - 16. Which statement best-describes the vertex of the function?

• The vertex is a maximum located at (-6, 56).

• The vertex is a maximum located at (-3, 11).

• The vertex is a minimum located at (3, -25).

• The vertex is a minimum located at (6, — 16).

The function f(x) – 5 is graphed on a coordinate grid. How does this graph compare to the graph of f(x)?

• The function f(x) – 5 is shifted 5 units to the left and 5 units down from f(x).

• The function f(x) – 5 is shifted 5 units to the right and 5 units up from f(x).

• The function f(x) – 5 is shifted 5 units down from f(x).

• The function f(x) – 5 is shifted 5 units up from f(x).

Which expression is equivalent to 4a²-9b²?

• (2a – 36)²

• (3a + 2b)²

• (2a + 3b) (2a - 3b)

• (3a + 2b) (3a - 26)

Which is a factored form of p² - 16p + 64?

• (p+8)(p-8)

• (p+8)²

• (p-8)²

• (p+16) (p + 4)

What is the factored form of the trinomial given? 2x² - 7x-4

• (2x - 4)(x + 1)

• (2x - 1)(x+4)

• (x + 4) (2x + 1)

• (x-4) (2x + 1)

What are the zeros of the function f (x) = x² + 4x − 12 ?

• x = {-6, 2}

• x = {-2, 6}

• x = {-1, 12}

• x = {1, 12}

Consider the expression. (2 + 3i)(4 - i) What is a simplification of the expression?

• 5 - 14i

• 5 + 14i

• 11 - 10i

• 11 + 10i

For which quadratic equation will the solution(s) be imaginary?

• x²-3x+10=0

• x² - 2x+1=0

• x²+x-1=0

• x² + 4x + 9 =0

Which equation represents the solutions of the quadratic equation 3x² – 2x − 5 = 0?

• x² + 6x +5=0

• x=2±√(-2)² -4(3)(-5)/ 2(3)

• x=-2±√(−2)² −4(3)(-5)/ 2(3)

• x=-2+√(-2)²-4(3)(-5)/ 2(3)