Algebra 2 Spring Break Packet

Solve the following equation by completing the square:n² - 2n - 3 = 0

• x = 3 and-1

• x = 4 and -4

• x = 5 and -3

• x = 8 and -7

Write the equation y= x²-2x-5 in vertex form.

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1

A parabola has a vertex at (1,6) and passes through (3,-18). Solve for "a" and use it to write the equation for the parabola in vertex form.

• f(x) = 3(x - 1)² - 18

• f(x) = -6(x - 1)² + 6

• f(x) = 6(x - 3)² - 18

• f(x) = -3(x + 1)² - 6

Write the equation in standard form:

y = -3(x + 5)² - 4

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Find the y-intercept of

f(x) = 2(x - 0.5)² + 0.5

• 2

• -2

• 1

• -1

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

Find the vertex of
f(x) = -x² - 4x + 12

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

Is the following number rational or irrational?
√121

• Rational

• Irrational

Write the algebraic representation for A(2,4) that reflects over the x-axis.
 

• A'(-2,-4)

• A'(2,-4)

• A'(2,4)

• A'(-2,4)

Is this table a function or not a function? 

• Function

• Not a Function