Transformations
What transformations are on this quadratic: y = x2 - 3
shifts 3 units down
What is the vertex of this parabola: y = x2 + 1?
(0, 1)
What is the u-shaped/quadratic graph called?
A parabola
What is it called when the parabola crosses the x axis?
x-intercept
- shifts 2 units left
- shifts 4 units up
What is the vertex of this parabola: y = (x + 1)2
(-1, 0)
The highest point (vertex) of a parabola is called...
a maximum
Does the graph of the following equation open up or down? y = -2x2 + 5x - 6
down
What transformations are on this quadratic: y = (x - 5)2 - 3
- shifts 5 units right
- shifts 3 units down
What is the vertex of this parabola: y = 2(x - 3)2 - 4 ?
(3, -4)
The lowest point (vertex) of a parabola is called...
a minimum
Does the graph of the following equation open up or down? y = 2(x - 3)2 - 4
up
What transformations are on this quadratic: y = 2(x + 1)2
- vertical stretch of factor 2
- shifts 1 unit left
(-5, 55)
A vertical line that cuts the parabola into two equal parts..
axis of symmetry
What is the point where the parabola crosses the y-axis?
The y-intercept
What transformations are on this quadratic: y = 1/2 (x + 5)2 - 7
- vertical compression of factor 1/2
- shifts 5 units left
- shifts 7 units down
What is the vertex of this parabola: y = 4x2 - 10