VOCABULARY
The u-shaped graph shown by a quadratic.
PARABOLA
The axis of symmetry goes through the _ _ _ _ _ _.
vertex
The vertex of y = 2x2 + 3x - 1 is this ordered pair.
(1,-3)
These are the roots of y= x2 - 4x - 21.
-3 and 7
What happens to the parent function when "a" is negative?
Reflection; opens downward with the vertex as a maximum
The line that passes through the vertex and divides a parabola into two symmetric parts.
AXIS OF SYMMETRY
This is the axis of symmetry for the equation y = 2x2 + 8x – 5.
x = -2
y = 4x2 + 7 has its vertex at this point
(0,7)
These are the solutions to x2 - 25.
-5 and 5
Describe the transformation from the quadratic parent function.
y=x2-7
Down 7
The lowest or highest point on a parabola.
VERTEX
This is the axis of symmetry for y=3x2 + 6x - 2
x = -1
The vertex of y = x2 is this ordered pair.
(0,0)
This is the number of solutions the equation has.
x2 + 8x + 16
one
Describe the transformation from the quadratic parent function.
y=2x2
Narrower
The four names for where a parabola crosses the x-axis.
x-intercepts, zeros, roots, solutions
This is the axis of symmetry for y = -4x2 + 3.
x = 0
This point is the vertex of y = -3x2 + 18x - 13.
(3,14)
The zeros of 2x2 + 4x - 6 are...
1 and -3
Describe the transformation from the quadratic parent function.
y=0.5x2+10
Wider and up 10
This is the standard form of a quadratic equation.
ax2 + bx + c
This is the axis of symmetry for y = -2x2 + 8x + 12.
x = 2
The vertex of y = -4x2 + 3 is this.
(0,3)
A ball is kicked into the air. The quadratic function represents it's path in meters per second.
y = -x2 + 12x
After how many seconds will the ball hit the ground?
12 seconds
Describe ALL the transformation from the quadratic parent function.
y=-6x2+3
reflection, narrower, and up 3