Graphs of Quadratic Function

Graphs of Quadratic Function

What are the important properties of this graph?

• Y-Intercept

• 
  

• X-Intercepts (zeros, roots, solutions)

Multiple Choice

What are the solutions for this graph?

• -2

• -4 and 0

• no solution

• cannot be determined

Multiple Choice

What are the x- intercepts?

• x= 0 and x= -4

• y= 0

• x= 0 and x= 4

• x= 2

Multiple Choice

What is the y- intercept?

• (0,6)

• (0,2)

• (6,0)

• (0,0)

What are the important properties of this graph?

• Vertex (maximum/minimum)

• 
  

• Axis of Symmetry

Multiple Choice

Is this a maximum or minimum?

• minimum

• maximum

• cannot be determined

Multiple Choice

What is the minimum point of the graph?

• (−1,−4)

• (1,−4)

• (−1,4)

• (−4,1)

Multiple Choice

What is the equation of line of symmetry of the graph?

• x= -4

• y= 1

• x= 1

• y= −4

Multiple Choice

The line that makes the graph symmetric is the:

• Solution Set

• Quadratic Function

• Intercept Formula

• Axis of Symmetry

Multiple Choice

Find the vertex. y = x²+ 16x + 71

• V(-8, 3)

• V(-8, 7)

• V(8, 10)

Multiple Choice

If given the equation

y = 3(x + 5)² - 4,

what is the vertex of the parabola?

• (-15, -4)

• (5, -4)

• (-5, -4)

• (15, -4)

Standard Form / Vertex Form

• Standard Form: 1.  Identify a and b values

• 2. the axis of symmetry is x =  $-\frac{b}{2a}$  

• 3.  plug in x to get y value

• Vertex Form: 

• 1.  Identify h and k

• 2.  the axis of symmety is h

• 3. the vertex is (h, k)

Finding Vertex from Standard Form

https://www.youtube.com/watch?v=WTk4m6Ovv9s

Multiple Choice

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

• y = -2

• x = 3

• y = 2

• x = -3

Multiple Choice

What is the green dashed line called?

• parabola

• roots or x-intercepts

• axis of symmetry

• line of dashes

Graphical characteristics of the parent function

Vertex and Axis of symmetry

• VERTEX: lowest point or a highest point

• AXIS OF SYMMETRY:  a line about which the parabola is symmetrical (balanced)

Main Focus

Vertex and Axis of Symmetry