Alg 2 Unit 2 Test - Quad Analysis & Complex Numbers

What is the vertex of the quadratic function:
y = x² - 6x + 11?

Does
y = -3x² + 4x -6
have a maximum or minimum value?

• maximum
• minimum
• neither

Determine the vertex of the parabola:
y = 5x² - 20x + 13

The axis of symmetry for the following equation y=4x²-8x+9 is (a)   .

• x=-8
• x=1
• x=-1
• x=2
• x=8
• x=9
• x=-9

What are the zeros of the function, f(x) = x² - 5x - 6?

In other words, where does the equation cross the x-axis?

• {-2, 3}

• {-3, -2}

• {-6, 1}

• {-1, 6}

• none of these

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

Write the solutions without spaces [a=#, b=#, c=#]

identify the points indicated

d

f

e

axis of symmetry

origin

vertex

y-intercept

x-intercept

parabola

John is trying to split his earnings from his summer job into two parts such that the earnings can be represented by the trinomial: 2x² + 5x + 3. How can he split his earnings?

Write the factors without spaces (a+b)(c+d)

What are the solutions to the following quadratic:

6x² - 3x + 2

Keep your answer in radical form.

Factor Completely: The warp speed of the USS Enterprise is 15t² - 27t - 6 times faster than a standard starship. How can we express this speed in a more simplified form, that is a factored form?

Write your factors without spaces (a+b)(c+d)