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Axis of Symmetry
Find the Vertex
Roots
Vocabulary
Word Problem
100
Find the axis of symmetry: y= x² - 8x + 12
What is x = 4
100
Find the vertex: y= x² + 2x
What is (-1,-1)
100
Find the roots: y = 5n² + 2n + 6
What is No Solution
100
Every quadratic has a U shaped graph called this...
What is parabola
100

A ball being thrown is modeled by f(t)=-14t2+56t.

What is the y-intercept?

t=0

200
Find the axis of symmetry: y=3x² + 12x + 2
What is x = - 2
200
Find the vertex: -3x² + 4
What is (0,4)
200
Find the roots: y = c² - 5c - 24
What is -3 and 8
200
The highest point on a parabola
What is maximum
200

A ball being thrown is modeled by f(t)=-14t2+56t.

What method would you use to solve the roots?

Factoring and ZPP.

300
Find the axis of symmetry: y = -2x² + 6x + 7
What is x = 1.5
300
Find the vertex: y = -2x² + 1
What is (0,1)
300
Find the roots: x² - 12x + 36
What is 6
300
When a quadratic is written in the form y= ax² + bx + c
What is standard form
300

A ball being thrown is modeled by f(t)=-14t2+56t.

What is the axis of symmetry of this quadratic?

t=2

400
Find the axis of symmetry: y = ½ x ² + 5x – 4
What is x = -5
400
Find the vertex: y = x² + 6x + 5
What is (-3, -4)
400
Find the roots: r² + 4r - 12
What is -6 and 2
400
The lowest point on a parabola
What is minimum
400

A ball being thrown is modeled by f(t)=-14t2+56t.

Find the zeros of f(t).

t=0, 4

500
Find the axis of symmetry: -12y= 24x² + 96x + 12
What is x = -2
500
Find the vertex: x² - 3x - 4
What is (3/2, -25/4) or (1.5, -6.25)
500
Find the roots: x² - 10x= -21
What is 3 and 7
500
The line that runs through the vertex and divides the parabola in half
What is axis of symmetry
500

A ball being thrown is modeled by f(t)=-14t2+56t.

What is the maximum height the ball will reach?

(Hint: what feature of the graph can we use to find this?)

56 feet. 

Use the axis of symmetry (the x-coordinate of the vertex) to find the maximum height (the y-coordinate of the vertex!).