Standard To Vertex Form

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1
• y = (x - 3)² + 1
• y = (x + 6)² - 10
• y = (x - 6)² + 10

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15
• f(x) = (x - 4)² + 17
• f(x) = (x - 4)² - 17
• f(x) = (x - 4)² + 65

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert the equation y= x² + 4x + 11 into vertex form.

• y = (x + 2)² - 4

• y = (x + 2)² + 7

• y = (x + 2)²

• y = (x - 2)² - 7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert the equation y= 5x²-40x+67 into vertex form.

• y= -5(x+4)²+13
• y= 5(x+4)²-13
• y=5(x-4)²-13
• y= 5(x-13)²+4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the equation y= -3x²+24x-41 into vertex form.

• y= -3(x-4)²+7
• y= 4(x-3)²+7
• y= -3(x+7)²+4
• y= 3(x+4)²+7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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)

Write y = x² + 4x - 1 in vertex form.

• y = (x - 2)² + 5
• y = (x + 2)² - 5
• y = (x + 2)² - 1
• y = (x +2)² + 3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1
• y = (x - 3)² + 1
• y = (x + 6)² - 10
• y = (x - 6)² + 10

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Fill in the blank: When we convert from standard to vertex form, the "a" value will ____________.

• stay the same
• be the same but negative
• become the vertex
• be squared

Tags

CCSS.HSA.SSE.B.3