Writing Quadratic Equations Review

What is the quadratic equation that goes through the following points?

(0,5)

(2,1)

(1,2)

• x²-4x+5

• x²+4x+5

• .17x²-1.5x+3.33

• .17x²⁺1.5x+3.33

The graph of a quadratic function is called

• a line
• a hyperbola
• a parabola
• a cubic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

Tags

CCSS.HSA.CED.A.1

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9
• y = -6(x - 5)² + 9
• y = 6(x - 5)² + 9
• y = -6(x + 5)² + 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

• f(x) = 1/4(x - 4)² - 1
• f(x) = 4(x - 4)² - 1
• f(x) = 4(x + 4)² - 1
• f(x) = 1/4(x + 4)² - 1

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

What is the quadratic equation that goes through the points (2,3), (3,2), and (4,3).

• There is no quadratic equation that goes through these points.

• x²+6x+11

• x²-6x+11

What is the quadratic equation that has x-intercepts at -2 and 1.25 and has a y-intercept at 10?

• -4x²-3x+10

• 4x²-3x+10

• -4x²+3x+10

• 4x²+3x+10