Graphing Quadratic Equations

Quadratic Equations by Graphing

A Quadratic Equation is an equation in which the greatest power of any variable is 2

Multiple Choice

Which equation below is a quadratic?

• y=9x+5

• y=3x²-9x+6

• y=5x³+7x-6

• x=3x⁴-2x-1

Multiple Choice

Identify the a, b, c for the following equation.

$$y=x^2+2x-9$$  

• 1, 2, -9

• 2, 2, -9

• -9, 2,1

Multiple Choice

Identify the a, b, c for the following equation.

y = 3x² - 7x + 15

• 3, 7, 15

• 3, -7, 15

• -3, 7, -15

Parts of a Parabola

Has a "U" shape.

Multiple Choice

Does this graph have a maximum or a minimum value?

• maximum

• minimum

Multiple Choice

Does this graph have a maximum or minimum value?

• maximum

• minimum

Multiple Choice

Consider the function f(x) = –x² + 2x + 3.

Determine whether the function has a maximum or a minimum value.

• maximum

• minimum

Multiple Choice

What is the name of the graph of a quadratic equation?

• paramedic

• parabola

• ebola

• linear

Multiple Choice

What is the vertex of the parabola?

• (2,6)

• (0,2)

• (4.5,0)

• (-2,-6)

Multiple Choice

What is the vertex of the parabola?

• (-1,0)

• (0,-3)

• (1,-4)

• (3,0)

Multiple Choice

What is the axis of symmetry for this graph?

• x=-1

• x=0

• x=1

• x=2

Multiple Choice

What is the axis of symmetry for this graph?

• x=-1

• x=0

• x=1

• x=2

Multiple Choice

What is the y-intercept of the parabola?

• -4

• -3

• -1

• 3

Multiple Choice

What is the y-intercept of the parabola?

• -2

• 0

• 2

• 6

Multiple Choice

Consider the function f(x) = 5x² + 6x + 3.

What is the y-intercept? (Hint: y-intercept is same as the c)

• 5

• 6

• 3

Parts of a Parabola

Where the graph touches the x axis is the x-intercept. There can be 1 or 2 or none.

Multiple Choice

What are the x-intercepts of the graph?

• 0 and 2

• -4 and 0

• 2 and 3

• 0 and 4

Multiple Choice

What are the x-intercepts of the graph?

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Multiple Choice

How many solutions does this quadratic have?

• 0

• 1

• 2

Multiple Choice

How many solutions does this quadratic have?

• 0

• 1

• 2

Multiple Choice

How many solutions does this quadratic have?

• 0

• 1

• 2

Poll

Are you understanding the math concepts from this lesson today?

Open Ended

As you met the success criteria for graphs of quadratics, write down one important thing to remember about the lesson today.