Quadratic Equation Standard Form to Vertex Form

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

Convert the equation
x²-12x+40
into vertex form

• (x+6)²-4

• (x+6)²+4

• (x-6)²-4

• (x-6)²+4

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

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 is the correct equation for the given graph? (a)  

• f(x) = -(x + 2)2 - 4

• f(x) = -(x - 2)2 - 4

• f(x) = -3(x - 2)2 - 4

• f(x) = -3(x + 2)2 - 4

Tags

CCSS.HSF-IF.C.7A

The graph of a quadratic function is shown. The vertex and two points are labeled.

Drag and drop the numbers and operations to write the equation for the parabola in vertex form.

y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

Mathematical Equivalence

OFF

Which equation below best describes the graph of this parabola? (a)  

• f(x) = (x -5)2 + 1

• f(x) = (x - 1)2 - 5

• f(x) = (x + 1)2 - 5

• f(x) = (x + 5)2 +1

Which of the following is the correct equation for the given graph? (a)  

• 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

Mathematical Equivalence

OFF