Solving by Parabola Algebra

Solve
a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Tags

CCSS.HSA-REI.B.4B

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

Complete the Square

x² - 10x + ____

• x² + 10x - 100

• x² - 10x + 100

• x² + 10x - 25

• x² - 10x + 25

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form...
x² - 2x - 3

• (x - 1)² + 4

• (x - 1)² - 4

• (x - 1)² - 2

• (x - 1)² + 5

Tags

CCSS.HSA-REI.B.4B

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

When a quadratic equation is graphed, it creates a

• Square

• Circle

• Parabola

• Line

Tags

CCSS.HSF-IF.C.7A

If the discriminant equals 0, then the quadratic has:

• 1 Solution

• 2 Real Solutions

• No solutions

• 2 Imaginary Solutions

• 1 Real Solution, and an Imaginary Solution named Harvey.

Tags

CCSS.HSA-REI.B.4B

Answer explanation

 $\frac{\left(9\pm\sqrt{361}\right)}{4}$  

Tags

CCSS.HSA-REI.B.4B