Quadratic Functions and Equations Flashcards
What is the equation of the axis of symmetry?
x=h
What is the vertex of the parabola?
(h, k)
What is the parent quadratic function?
f(x)=x^2
What is the axis of symmetry for the parent function?
x=0
What is the vertex of the parent function?
(0,0)
What are the graphs of y=ax^2 and y=-ax^2?
Reflections of each other across the x-axis.
What stretches the graph vertically and narrows it horizontally?
Increasing |a|
What compresses the graph vertically and widens it horizontally?
Decreasing |a|
If a>0, the parabola…
Opens upward.
If a<0, the parabola…
Opens downward.
What is the first step in graphing a vertex form of a quadratic equation?
Identify the values for a, h, and k.
What is the second step in graphing a vertex form of a quadratic equation?
Plot the vertex and axis of symmetry.
What is the third step in graphing a vertex form of a quadratic equation?
Find at least two other points to graph. Include one point to the left and right of the vertex.
What is the fourth step in graphing a vertex form of a quadratic equation?
Connect the points and draw the parabola.
What can’t you see in standard form that you can see in vertex form?
The vertex.
What is the formula for the axis of symmetry?
-b/2a
After the x-value (axis of symmetry) is found, what do you do?
Plug it in to get the y-value.
To solve some quadratic equations, what can be used?
The rules of square roots.
Solving some quadratic equations: what comes after the step x^2 = s?
x√s
Solving some quadratic equations: what comes after the step x√s?
x = ± √s
Remember: what do quadratic equations have?
Two answers.
The method
x^2 = s –> x√s –> x = ± √s
only works for equations with __ ___ ____.
No “b” term.
If the “b” term is not in the correct place, _________ it as you would a ______ ________; _______ the x^2.
rearrange
liner equation
isolate
