Graphing Quadratics- key features

What is name of the graph of a Quadratic Equation?

• Line
• Parbola
• U
• Parabola

Tags

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.2

What is the standard form for a Quadratic?

• ax²+ bx = - c
• x = -b ± √(b²-4ac) / 2a
• ax² + bx + c
• y = mx + b

Define Vertex

• Where the parabola touches or intersects the x-axis

• The highest or lowest point on the graph

• Where parabola line touches or intersects the x- axis, also called the x-intercept

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

What is the vertex?

• A

  (0 , 5)

• B

  (1 , 0)

• C

  (5 , 0)

• D

  (3 , -4)

Define Y-intercept

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

What is the y-intercept?

• A

  (0 , 5)

• B

  (1 , 0)

• C

  (5 , 0)

• D

  (3 , -4)

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

What are the x-intercepts of

y= x² - 9x + 14 ?

• (-7,0) and (-2,0)

• (7,0) and (-2,0)

• (7,0) and (2,0)

• (9,0) and (-14,0)

Label the Graph with the Correct Key Features.

1. ​ (a)   2. ​ (b)   ​

3. ​ (c)   ​ 4. ​ (d)  

• Y-Intercept
• Zero
• Vertex

What are the green points called?

• axis of symmetry
• vertex
• y-intercept

• x-intercepts