Vertex Form

Presentation

•

Mathematics

•

12th Grade

•

Easy

•

CCSS

HSF.IF.B.4, HSF-IF.C.7A, 8.F.A.1

Standards-aligned

Anna Leigh

Used 3+ times

FREE Resource

4 Slides • 12 Questions

Multiple Choice

What is the significance of the vertex of a quadratic function?

It determines the direction of the parabola.

It represents the highest or lowest point of the parabola.

It gives the x-intercepts of the parabola.

It shows the axis of symmetry.

Together

Fill in the Blanks

Without looking at your calculator, what do you think the vertex of k(x) would be if its equation is k(x)=(x+5)²-7?

Multiple Choice

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

Multiple Choice

Which equation has a vertex of (-3, 4)?

y = 2(x+3)²+ 4

y = (x+3)² - 4

y = (x-3)² + 4

y = 2(x - 3)² + 4

Multiple Choice

Practice. Write a quadratic function in vertex form to make each of the following vertices.
I. Vertex = (2,-11)

k(x)=(x+2)² -11

k(x)=(x-2)² -11

k(x)=(x-2)² +11

k(x)=(x+2)² +11

Multiple Choice

Practice. Write a quadratic function in vertex form to make each of the following vertices.
II. Vertex = (-18,7)

j(x)=(x+18)² +7

j(x)=(x-18)² +7

j(x)=(x+18)² -7

j(x)=(x-18)² -7

Open Ended

Compare the standard form and vertex form of a quadratic function. What do they have in common, and how are they different?

Type response here

Multiple Choice

Identify the a, h, and k terms in the following equation: $\left(x+4\right)^2-3$

a=-1, h=4, k=3

a=-1, h=-4, k=3

a=1, h=4, k=3

a=1, h=-4, k=-3

Multiple Choice

What is the vertex of the parabola: y=2(x-3)²+4

(3,4)

(-3,4)

(3, -4)

(-3,-4)

Multiple Choice

What is the equation of this graph?

f(x) = (x -5)² + 1

f(x) = (x - 1)² - 5

f(x) = (x + 1)² - 5

f(x) = (x + 5)² +1

Multiple Choice

Which of the following is the correct equation for the given graph?

f(x) = (x - 2)² - 1

f(x) = (x + 2)² - 1

f(x) = -(x + 2)² - 1

f(x) = -(x - 2)² - 1

Open Ended

Do you have any questions about vertex form or would you like to know more about how transformations affect quadratic functions?

Type response here

What is the significance of the vertex of a quadratic function?

It determines the direction of the parabola.

It represents the highest or lowest point of the parabola.

It gives the x-intercepts of the parabola.

It shows the axis of symmetry.

Show answer

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MULTIPLE CHOICE

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