Review of Parabolas with Vertex Form

Identify the vertex of the parabola with the equation y = (x-3)^2 + 4.

• (3, 3)

• (4, 3)

• (3, 4)

• (2, 4)

Convert the standard form equation y = x^2 - 6x + 8 into vertex form.

• y = (x-3)^2 - 1

• y = (x-2)^2 + 5

• y = (x-5)^2 - 3

• y = (x-4)^2 + 2

Graph the parabola with the equation y = (x+2)^2 - 5.

• The parabola opens downwards and its vertex is at the point (2, 5).

• The parabola opens upwards and its vertex is at the point (5, -2).

• The parabola opens upwards and its vertex is at the point (-2, -5).

• The parabola opens sideways and its vertex is at the point (-5, -2).

Tags

CCSS.HSF-IF.C.7A

Explain the meaning of 'h' in the vertex form equation y = a(x-h)^2 + k.

• The 'h' represents the y-intercept of the parabola.

• The 'h' represents the horizontal shift of the parabola.

• The 'h' represents the slope of the parabola.

• The 'h' represents the vertical shift of the parabola.

Identify the vertex of the parabola with the equation y = (x+1)^2 - 3.

• (-1, -3)

• (1, 3)

• (-2, -3)

• (0, -3)

Convert the standard form equation y = x^2 + 10x - 7 into vertex form.

• y = (x - 5)^2 + 32

• y = (x + 5)^2 - 32

• y = (x - 5)^2 - 32

• y = (x + 5)^2 + 32

Graph the parabola with the equation y = (x-4)^2 + 2.

• The parabola opens downwards and its vertex is at (-4, -2).

• The parabola opens upwards and its vertex is at (-4, 2).

• The parabola opens downwards and its vertex is at (4, -2).

• The parabola opens upwards and its vertex is at (4, 2).

Tags

CCSS.HSF-IF.C.7A

Explain the meaning of 'k' in the vertex form equation y = a(x-h)^2 + k.

• The slope of the parabola

• The x-coordinate of the vertex

• The axis of symmetry

• Vertical shift or y-coordinate of the vertex

Explain the meaning of 'a' in the vertex form equation y = a(x-h)^2 + k.

• 'a' represents the vertical stretch or compression of the parabola.

• 'a' represents the horizontal shift of the parabola.

• 'a' represents the y-intercept of the parabola.

• 'a' represents the slope of the parabola.

Convert the standard form equation y = x^2 + 4x + 4 into vertex form.

• y = (x + 2)^2

• y = (x - 2)^2

• y = (x + 2)^2 + 4

• y = (x - 2)^2 + 4