Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
The axis of symmetry for the quadratic y = x^2 + 2x + 1.
What is x = -1?
The axis of symmetry for the quadratic y = (x - 3)^2.
What is x = 3?
The transformations that occur to the function f(x) = x^2 with the quadratic g(x) = (x - 4)^2 - 7.
What are right 4 and down 7?
What is the parent function of f(x)=|x-5|+2?
absolute value or f(x)=|x|
What do you call the highest or lowest point on a parabola or absolute value function?
What is the vertex?
The axis of symmetry for the quadratic y = 2x^2 - 8x + 3.
What is x = 2?
The axis of symmetry for the quadratic y = (x + 2)^2 - 1.
What is x = -2?
Describe the transformations to the parent function in the following equation:
f(x)=-2|x+1|
Reflected over x-axis
Vertically stretched by 2
Left 1
What is the parent function of f(x)=2x-1?
Linear or f(x)=x
When a quadratic equation is written in this form y = ax^2 +bx + c
What is the standard form?
The vertex of the absolute value function
f(x)=-|x-2|+4
What is (2, 4)?
The vertex of the quadratic y = (x - 3)^2 + 4.
What is (3, 4)?
The transformations that occur to the function f(x) = x^2 with the quadratic g(x) = 2(x + 1)^2 + 3.
What are a stretch, left 1, and up 3?
What is the parent function of f(x)=x^2-3x+5?
Quadratic or f(x)=x^2
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
The vertex of the absolute value function:
f(x)=5|x|-1
What is (0, -1)?
The vertex of the quadratic y = -x^2 + 3.
What is (0, 3)?
The equation of a quadratic after the transformations of a reflection over the x-axis, then translated 2 units right and 2 units up.
What is y = -(x - 2)^2 + 2?
What is the parent function of f(x)=-(x-5)^2+3?
Quadratic or f(x)=x^2
The equation of the axis of symmetry (or x-value of the vertex)
The vertex of the quadratic y = -3x^2 - 12x + 1.
What is (-2, 13)?
The vertex of the quadratic y = 2(x + 5)^2 - 3.
What is (-5, -3)?
The equation of the quadratic after the transformations of a compression of 1/2, then translated 3 units left and 6 units down.
What is y = 1/2(x + 3)^2 - 6?
What is the parent function of f(x)=x^3+2x^2-4?
Cubic or f(x)=x^3