Writing Quadratic Equations in Vertex Form

Which of the following is the correct equation for the given graph?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Tags

CCSS.HSF.IF.C.7

Write the equation of the quadratic function that has a vertex of (4,-1) and passes through the point (8, 3).

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Write the equation of the quadratic function that has a vertex of (-2, 6) and passes through the point (-1, 3).

• y = 1/3 (x + 2)² + 6
• y = -3(x + 2)² + 6
• y = -3(x - 2)² + 6
• y = -(x + 1)² + 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

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

Write the equation of the quadratic function that has a vertex of (4,-1) and passes through the point (8, 3).

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Find the quadratic function with vertex (2, 0) and passing through (1, 3).

• y = 3x² + 12x - 12
• y = - 3x² + 6x - 1
• y = 3x² - 12x + 12
• y = 3x² - 6x + 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Which of the following is the correct equation for the given graph?

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

Tags

CCSS.HSF-IF.C.7A

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A