Quadratic Function Standard Form and Vertex Form

Given: y = 2(x - 5)² + 6, the vertex is

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

Does the graph of

y = -2(x + 5)² + 2

have a minimum or a maximum?

• Minimum

• Maximum

• It has neither.

• It has both.

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)

• (0, -6)

• (6, 0)

• (-6, 0)

What is the axis of symmetry?
f(x) = x² - 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

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

• +

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

• +

Identify the vertex and whether the graph opens up or down. (a)  

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Write a quadratic equation in vertex form that can be represented by the graph that has a vertex at (3, 8) and passes through the point (2, 6) ? Enter the answer in VERTEX FORM.

Mathematical Equivalence

ON

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

Write the equation of the quadratic in VERTEX FORM given a=2 and the vertex (-2, 5).

Mathematical Equivalence

ON