VOCABULARY
AXIS OF SYMMETRY
VERTEX
Applications
Anything's Possible
100
The u-shaped graph shown by a quadratic.
What is a PARABOLA?
100
This is the formula for the axis of symmetry.
What is x = -b/2a ?
100
The vertex of y = 2x^2 + 16x - 1 is this ordered pair.
What is (-4,-33)?
100

The height of an object thrown into the air can be modeled by the formula h(t) = -16t^2 + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

What is 45 feet?

100
A parabola will look like this if a is negative.
What is open downwards with the vertex as a maximum?
200
The line that passes through the vertex and divides a parabola into two symmetric parts.
What is the AXIS OF SYMMETRY?
200
This is the axis of symmetry for the equation y = 2x^2 + 8x – 5.
What is x = -2?
200
y = 4x^2 + 7 has its vertex at this point
What is (0,7)?
200

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24. How long will it take for you to hit the maximum height?

What is the x-coordinate of the vertex?

200

Convert into vertex form by completing the square: x^2 + 6x + 8 =0

What is (x+3)^2 -1 =0

300
The lowest or highest point on a parabola.
What is the VERTEX?
300
This is the axis of symmetry for y=3x^2+6x-2
What is x = -1?
300
The vertex of y = x^2 is this ordered pair.
What is (0,0)?
300

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t^2 + 96t. When does the rocket hit the ground?

What is 6 seconds?

300

f(x) = x^2 -4

g(x)=x+1

What is f(g(6))?

What is 45?

400
These are three names for the place or places a parabola crosses the x-axis.
What are x-intercepts, roots and zeros?
400
This is the axis of symmetry for y = -4x^2 + 3.
What is 0?
400
This point is the vertex of y = -3x^2 + 18x - 13.
What is (3,14)?
400

What algebraic term are you solving for if the word problem is: Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t^2 + 96t. When does the rocket land?

What is the x-intercept?

400

f(x)= (x+4)^2 -1

What is f^-1(x)?

What is sqrt(x+1) -4?

500
This is the standard form of a quadratic equation.
What is ax^2 + bx + c = 0 ?
500
This is the axis of symmetry for y = -2x^2 + 8x + 12.
What is x = 2?
500
The vertex of y = -4x^2 + 3 is this.
What is (0,3)?
500

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t^2 + 64t + 80.
What will be the object's maximum height?

What is 144 feet?

500

FINAL JEOPARDY: Convert into vertex form by completing the square: y = -2x^2 + 12x + 16

What is -2(x-3)^2 +34 =0?

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