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VOCABULARY
AXIS OF SYMMETRY
VERTEX
Transformations
GRAPHS
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 = 2x2 + 16x - 1 is this ordered pair.

What is (-4,-33)?

100

Compare g(x)= 3x2 - 21 with f(x)=x2

vertical stretch by a factor of 3 and translation 21 down.

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 = 2x2 + 8x – 5.

What is x = -2?

200

y = 4x2 + 7 has its vertex at this point

What is (0,7)?

200

Compare g(x)= 1/2x2 +3 with f(x)=x2

vertical shrink by a factor of 1/2 and translation up 3

200

Would this equation give you a parabola? y=3x3+2x+3

no

300
The lowest or highest point on a parabola.
What is the VERTEX?
300

This is the axis of symmetry for y=3x2+6x-2

What is x = -1?

300

The vertex of y = x2 is this ordered pair.

What is (0,0)?

300

Compare g(x)= (x-3)2 -2 with f(x)=x2

translation Right 3 and down 2

300

Does g(x)= -3x2 - 21 have a minimum or a maximum

minimum

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 = -4x2 + 3.

What is 0?

400
This point is the vertex of y = -3x^2 + 18x - 13.
What is (3,14)?
400

Compare g(x)= -6x2 + 12 with f(x)=x2

reflection over the x axis, vertical stretch by factor of 6 and up 12. 

400

Does this equation have a minimum or a maximum?

y=x2+4x+4

maximum

500

This is the standard form of a quadratic equation.

What is ax2 + bx + c = 0 ?

500

This is the axis of symmetry for y = -2x2 + 8x + 12.

What is x = 2?

500

The vertex of y = -4x2 + 3 is this.

What is (0,3)?

500

Compare g(x)= -(x+3)2 +4 with f(x)=x2

Reflection over x, left 3 and up 4.

500

Determine the roots of the graph of this equation y = 2x2 - 12x + 16

What are 2 and 4?