Standard Factored and Vertex Form

What is the vertex of
f(x) = 2(x - 5)² + 12

• (-5, -12)

• (5,-12)

• (5, 12)

• (-5, 12)

What is another name for the x-intercepts of a quadratic?

• domain

• zeros

• x-axis

• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

What is the vertex form of this quadratic?

• f(x) = -(x - 2)² + 0

• f(x) = (x - 2)² + 0

• f(x) = -(x + 2)² + 0

• f(x) = (x + 2)² + 0

Is the vertex a maximum or a minimum? Does the graph open upward or downward?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

Tags

CCSS.HSF-IF.C.7A

What is the vertex of this function?

• (0, -3)

• (1, -4)

• (-2, 5)

• {-1, 3}

To find the vertex of a quadratic in standard form, you ​ (a)   and ​ (b)   . Then you ​ (c)   the value back into the ​ (d)   to find the ​ (e)   coordinate of the vertex.

• take the opposite of b

• divide it by 2

• substitute

• equation

• y

• x

• take the opposite of c

• multiply it by 5

Mathematical Equivalence

OFF

What is the vertex of the function?

• (-3, -16)

• (3, 20)

• (-6, -7)

• (0, -7)

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

Match the following to its vertex.

• (1, 3)

• y = 2(x + 1)² + 3

• (-1, 3)

• y = 2(x—1)² + 3

• (-1, -3)

• y = 2(x + 1)² — 3

• (1, -3)

• y = 2(x — 1)² — 3