10.1 - 10.2 Converting Standard & Vertex Form Practice

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

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

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Which of the following shows

y = (x + 6)² - 38 written in standard form?

• y = x² + 2x - 4

• y = x² + 12x - 36

• y = x² + 12x - 2

• y = x² + 12x + 36

Convert f(x) = 4(x - 4)² - 62 to standard form.

• f(x) = 4x² - 32x + 60

• f(x) = 4x² - 32x + 2

• f(x) = x² - 16x + 2

• f(x) = x² - 8x + 2

Convert y = 3(x + 1)² - 8 to standard form.

• y = 3x²+ 6x - 5

• y = 3x²+ 6x - 8

• y = x²+ x - 5

• y = 3x²+ 2x - 8

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 14x + ____

• x² + 14x - 196
• x² + 14x + 49
• x² + 14x - 49
• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B