Quadratic Equations

Presentation

•

Mathematics

•

8th Grade

•

Practice Problem

•

Easy

Jiawei Liu

Used 1+ times

FREE Resource

4 Slides • 33 Questions

Multiple Choice

The graph of a quadratic function is called

a line

a hyperbola

a parabola

a cubic

Multiple Choice

What are the green dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

Multiple Choice

What is the green dashed line called?

roots or x-intercepts

parabola

axis of symmetry

line of dashes

Multiple Choice

Find the axis of symmetry for
f(x) = x²- 8x + 15.

x = -4

x = 4

y = 4

y = -4

Multiple Choice

Find the vertex y = x² - 2x - 5

V(-2, 10)

V(-1, 15)

V(1, -6)

V(1, -12)

Multiple Choice

Solve the equation by factoring.

x = {3,8}

x = {-3,8}

x = {3,-8}

x = {-3,-8}

Multiple Choice

identify the roots

4x² +9x = 12x

x = {0, 3/4}

x = {0, -3/4}

x = {0, 4/3}

no solution

Multiple Choice

How many solutions does this graph have?

one

two

no solutions

cannot be determined

Multiple Choice

Does this graph have any roots?

yes

I am not sure.

Multiple Select

What can the roots to a quadratic equation be called?

zeros

solutions

x-intercepts

none of the choices

Multiple Choice

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

5 seconds

1 second

2 seconds

3 seconds

Multiple Choice

Solve using the Zero-Product Property.

7x(x − 6) = 0

x =7 and x = −6

x = 0 and x = 6

x = 0 and x = −6

x = 7 and x = 6

Multiple Choice

Solve the following quadratic equation: $4x^2-9=0$

A. $x=\frac{3}{2}$ & $x=-\frac{3}{2}$

B. $x=\frac{2}{3}$ & $x=\frac{-2}{3}$

C. $x=\frac{9}{4}$

D. $x=\frac{4}{9}$

Multiple Choice

What are the solutions to $\left(x-6\right)^2=225$ ?

$x=21$ and $x=-9$

$x=21$ and $x=9$

$x=118.5$ and $x=106.5$

$x=231$ and $x=216$

Multiple Choice

What is a axis of symmetry?

all real numbers

y=5

the line that divides the graph in equal halves

y=mx+b

Multiple Choice

What is the domain of the graph shown above.

x=19

all real numbers

y=3

Maximum

Multiple Choice

What do we call the highest or lowest point of a quadratic?

parabola

vertex

graph

point

Multiple Choice

What is the vertex?

(2, 4)

(3, -1)

(0, 8)

(4, 2)

Multiple Choice

What is the vertex?

y = -2x² + 4x + 3

(Use -b/2a to help find the vertex)

(0, 3)

(-1, 5)

(1, 5)

(1, -5)

Graphing Quadratic Equations

Step 1: Find the axis of symmetry by x = -b/2a

Step 2: Find the vertex.

Substitute x-value into the equation to obtain the y-value of the vertex.

Step 3: Create a table with coordinate points 2 points on both sides of the line of symmetry.

Begin with the vertex as the center point on the table.
Next find the two points on both sides of the line of symmetry. (Think on 2 values on the left and the right of symmetry)

Multiple Choice

What is the axis of symmetry for the equation y=-x²+4x+3

x=2

y=2

x=-2

y=-2

Multiple Choice

What is the vertex of the quadratic equation y=-x²+4x+3?

(0,3)

(2,7)

(-2,7)

(3,0)

Multiple Choice

What is the graph of y = -3x² + 12x - 16

Multiple Choice

Graph the equation

Multiple Choice

Graph the equation

Multiple Choice

Graph the equation

Multiple Choice

$ax^2+bx+c$ is called _____________.

standard form

vertex form

linear equation

factored form

Multiple Choice

Is the graph shown a max or min?

Maximum

Minimum

Multiple Choice

Is the graph shown a max or min?

Minimum

Maximum

Multiple Choice

Graph the following equation:

y=x²-2x-3

Multiple Choice

The x-intercepts of the equation y=(x+1)(x-3)

are plotted as shown. What is the axis of symmetry?

x = 1

y = 1

x = 0

y = 0

Multiple Choice

The x-intercepts of the equation y=(x+1)(x-3) are plotted as shown. What is the vertex?

(-4, 1)

(1, 0)

(1, -4)

(0, -1)

Multiple Choice

The graph of $y=x^2+1$ could be?

Multiple Choice

What is the equation of this graph?

$y=-x^2$

$y=-x^2-3$

$y=x^2+3$

$y=-x^2+3$

The graph of a quadratic function is called

a line

a hyperbola

a parabola

a cubic

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