Algebra Vertex & Standard Form of Quadratics

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form
• Vertex Form
• Intercept Form

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a
• -b/a
• b/2a
• -b/2a

Tags

CCSS.HSA.REI.B.4

Convert the equation y= 8x²-16x+27 into vertex form.

• y=8(x+1)²+19
• y= -8(x-1)²+19
• y=8(x-1)²+19
• y=(x-1)²+8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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= (x+8)²+7 into standard form.

• y= x²+16x+71
• y= x²+8x+71
• y= x²+16x+64
• y= x²+15x+7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

What is the vertex of the equation
y= (x-12)²+7 ?

• (1,7)
• (-12, 7)
• (7,12)
• (12, 7)

Tags

CCSS.HSA.REI.B.4

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Tags

CCSS.HSA.CED.A.1

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