Standard and Vertex Form Quadratics

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

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

What is the vertex of the function y = -4(x +7)^2 - 8?

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 vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

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

Given the graph, write the equation of the quadratic in vertex form. (start with y=)

Mathematical Equivalence

OFF

• -1/2

• +

• 4

• 3

• 2

• 1/2

• -

• 5

• 0

Mathematical Equivalence

OFF

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

• +