Quadratics Complex

Simplify to lowest terms.

• x=1

• x=(3±7)/4

• x=10/-4

• x=(3±√43)/-4

Tags

CCSS.HSA-REI.B.4B

What are the roots of the function f(x)=(x+2)(4x-2)?

• -2

• 2

• 2, 2/4

• -2, -1/2

Tags

CCSS.HSF-IF.C.7C

What is the vertex of the function f(x)= 4(x+0.75)²-6.25?

• (0.75, -6.25)

• (-0.75, -6.25)

If a quadratic has a vertex at the point (1,1), and opens up, how many x-intercepts does it have?

• 0

• 1

• 2

• 3

Tags

CCSS.HSF-IF.C.7A

Determine the roots of the quadratic f(x)=3x²+3x+3.

• 3, -3

• (-3±3i)/6

• (-3±i√27)/6

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Are the roots of the function f(x)=3x²+3x+3 real or imaginary? (hint: graph it)

• Real Roots

• Imaginary Roots

• Impossible to tell

• Both

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2

• (2 - i√-56)/2   ,   (2 + i√-56)/2

• (2 - i√-14)/2   ,   (2 + i√-14)/2

• (2 - √14)/2   ,   (2 + √14)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

If b²-4ac is positive, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

Tags

CCSS.HSA-REI.B.4B

If b²-4ac is negative, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

Tags

CCSS.HSA-REI.B.4B

What are the zeros of the function f(x) = x² + 64?

• -8 and 8

• -8i and 8i

• -i√8 and i√8

• -√8 and √8