Exploring Quadratic Equations

What is the vertex?
f(x) = 2(x - 5)² + 12

• (-5, -12)
• (5,-12)
• (5, 12)
• (-5, 12)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry?
f(x) = x² - 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Tags

CCSS.HSA.REI.B.4

In the quadratic formula, if b²-4ac>0, then the quadratic equation has

• two imaginary solutions
• two different real solutions
• two equal real solutions
• none of these

Tags

CCSS.HSA-REI.B.4B

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

• 11
• 44
• 121
• 144

Tags

CCSS.HSA-REI.B.4B

In the quadratic formula, the expression
b²-4ac is called

• discrim
• determinant
• discriminant
• none of these

Tags

CCSS.HSA-REI.B.4B

If 3+2i is a solution of a quadratic equation, then other solution of this quadratic equation is

• 2-3i
• 3+2i
• 1/3 -1/2i
• 3-2i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.7

One solution of the quadratic equation
x²-7x+12=0 is

• x=3
• x=2
• x=-3
• x=-2

Tags

CCSS.HSA-REI.B.4B

Fill the blank space to complete the perfect square trinomial
x²-18x+____=(x- ____)²

• 9 and 3 respectively
• 81 and 9 respectively
• -9 and -3 respectively
• -81 and -9 respectively

Tags

CCSS.HSA-REI.B.4B

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10
• (x+4)(x+5); x = -5, -4
• (x-4)(x-5); x = 4, 5
• Not factorable

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1