Graph Vertex Form and Table of Values

A parabola has a vertex at (-1.5,12.5) and passes through (0,8). Solve for "a" and write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• y = -1.5(12.5 - 8)²

• y = 2(x + 0)² + 8

• y = -2(x + 1.5)² + 12.5

• y = 8(x + 1.5)² - 12.5

• None of the above

Given the equation above, which of the following statements is FALSE?

• The graph opens upward.

• The vertex is at (7, 4).

• The parabola crosses the x-axis twice.

• The standard form is y= 2x² - 28x + 102.

• The axis of symmetry is x = 7.

Tags

CCSS.HSF-IF.C.7A

A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?

Formula: f(x) = a(x - h)² + k

• -11 = a(10 - 6)² + 5

• y = -(10 - h)² + k

• y = -(x - 6)² + 5

• y = (x - 6)² + 5

Your teacher gives you an equation in vertex form. If the "a" value is -3, select the statements below that are true.

• "a" will be -3 in standard form

• "a" represents a vertical compression

• "a" will become 9 in standard form

• the parabola will open downward

• "a" describes the horizontal shift

Graph the following quadratic in Vertex Form:

Tags

CCSS.HSF-IF.C.7A

Which quadratic function in vertex form can be represented by the graph that has a vertex of (-5, 9) and passes through the point (-7, -15)?

Graph the following quadratic in Vertex Form:

Tags

CCSS.HSF-IF.C.7A

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1,46) and passes through (3,10)?

Which quadratic function in vertex form can be represented by the graph that has a vertex at (5, -3) and passes through the point (-1, -21)?

Identify the vertex and whether the graph opens up or down.

• (2, -3); opens up

• (-2, -3); opens down

• (2, 3); opens down

• (-2, 3); opens up