Parabola and Complete the Square

In vertex form, f(x) = a(x - h)² + k what does the h stand for?

• the y-coordinate of the vertex

• the x-coordinate of the vertex

• the x-intercept

• the y-intercept

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a

• x = (-b ±√b² - 4ac)/2a

• y = ax² + bx + c

• y = a(x - h)² + k

What is the first step to converting THIS equation to vertex form?

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add x² and 10x together

• Subtract 21 on both sides

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

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Complete the Square and write in Vertex Form:
f(x) = x² + 6x + 5

• (x + 3)² - 4

• (x + 6)² - 4

• (x + 3x)² - 4

• (x + 3)² + 9

Tags

CCSS.HSA-REI.B.4B

Complete the square and write in Vertex Form
f(x) = x² + 4x + 9

• f(x) = (x+2)² + 5

• f(x) = (x - 2)² + 5

• f(x) = (x+4)² + 5

• f(x) = (x+2)² - 5

Convert to vertex form.
y = 3x² +6x - 5

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

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)

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B