Vertex and standard form

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

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)

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the constant that should be added to the expression to complete the square: x²+16x

• 16

• 8

• 64

• 32

What is the vertex of y=x²+4x+3?

• (2,1)

• (-2,1)

• (0,0)

• (-2,-1)

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

What is the vertex of y=3(x-5)²+7?

• (-5,7)

• (5,7)

• (-5,-7)

• (5,-7)

What is the vertex of y=2x²-3x+6?

• (0.75, 4.875

• (4.875,0.75)

• (-0.75, 9.375)

• (9.375,-0.75)

Which of the following is a quadratic written in standard form?

• y=2x²-3x

• y=3(x-7)²

• y=3(x-8)

• y=2x-8x+6

Which of the following is a quadratic written in vertex form?

• y=4(x-7)+8

• y=3x²-7x+10

• y=4(x-7)²

• y=3x+8