Parts of Quadratics
What does DIXI stand for?
What Domain, Input, X-value, and independent variable
Given the zeros: (2, 0) (6, 0) and the point ( 4, -4) write an equation in factored form
What is y = (x-2)(x-6)
When the vertex is the highest point of a parabola, what is it called?
What is maximum
When given -a the graph will_____ (what transformation)
What is a Reflection
What is a zero?
It is an X-intercept, a root, a solution, or the answers
Identify the zero(s) to the following function: f(x) = x^2-121
What is (11,0) and (-11,0)
The x value in the vertex....
What is the Axis of Symmetry
What is a function?
When the x's do not repeat (each input has exactly one output)
When given a>1 the graph will ________ vertically. This is what type of transformation?
What is stretch?
Dilation
Roots are a solution to what type of function?
What is a quadratic function
If given: vertex is (-6,2) and a point is (0, -70) write an equation in vertex form
What is y = -2(x + 6)^2 +2
What is the vocabulary word for the A in this equation, and what is the value for A? x^2+15x-7
What is the leading coefficient and what is 1
How do you know when the parabola opens up or down?
When the leading coefficient is positive or negative
Given: y=(x - 3)2
What transformation occurs?
A horizontal translation of three units to the right
Put the following equations in order from widest to narrowest; I: f(x) = 3x^2-8 II: f(x) = (2/9)x^2-6 III: f(x) = (8/3)x^2-12 IV: f(x) = 7x^2-17
What is II, III, I, IV
What is the name of this function: y = kx
A direct Variation
Equation for quadratic's parent function?
What is y=x^2
When given y = x2 - 10 what type of transformation does the 10 cause?
A vertical translation down 10 units
What tells you whether a parabola will open up or down?
What is the leading coefficient
What value of x solves this equation?
6(1 − 4r) + 3r = −3(3r − 2) − 6r
r = 0
What is another name for the roots, answers, or solutions?
What are zeros
Write an equation for the following transformations on the graph of the quadratic parent function:
moved two units to the left
went down four
flipped over the x-axis
y = -3(x-2)2 -1
Identify all of the transformations
What is
3 -> Vertical stretch 3
-2 -> Translate to the right 2
-1 -> Translate down 1
- leading coefficient -- reflection or opens down