Quadratics Standard to Vertex Form

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

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)

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

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

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

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

Write the equation of the quadratic function that has a vertex of (-2, 6) and passes through the point (-1, 3).

• y = 1/3 (x + 2)² + 6

• y = -3(x + 2)² + 6

• y = -3(x - 2)² + 6

• y = -(x + 1)² + 3

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

• +

Which answer choice(s) below correctly show(s) an equation in vertex form and in its standard form? (There may be more than 1.)

• y = -3(x + 2)² + 3

  y = -3x² - 12x - 15

• y = 2(x + 5)² + 1

  y = 2x² + 20x + 51

• y = 0.5(x - 3)² - 6

  y = 0.5x² - 3x - 1.5