All About Quadratic Functions!

Example Questions
The shape of a quadratic function.
The lowest point on a parabola.
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GRID 6 Categories 30 Questions
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Number of categories
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Questions per category
Category 1
Shape of a quadratic function
Category 2
Standard Form
Category 3
Different forms for Quadratic Equations
Category 4
Graphs
Category 5
Factoring Techniques
Category 6
Solving Quadratic Equations
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Q.
The shape of a quadratic function.
A.
Parabola.
Q.
Formula for Standard Form of a Quadratic Function
A.
Y = ax^2 +bx +c
Q.
What is the formula for vertex form of a quadratic function.
A.
MULTIMEDIA
Q.
This graph opens up so the a value in standard form this quadratic function would be ....
A.
Positive
Q.
The first step when factoring a quadratic is to first look for a......
A.
Greatest Common Factor!
Q.
Solve
A.
V= {-6, 0}
Q.
The lowest point on a parabola.
A.
Minimum
Q.
The ___ value determines the direction the graph of a quadratic function opens.
A.
The a value/coefficient
Q.
The h and k in vertex form give us what information about the quadratic function
A.
The ordered pair (h,k) is the location of the vertex of the graph.
Q.
What is the axis of symmetry for this graph?
A.
X = 0.
Q.
What is the name of the factoring technique in the image called?
A.
Difference of Squares
Q.
Solve
A.
K = {-6, -3}
Q.
The middle point of a parabola where the maximum/minimum is located
A.
Vertex
Q.
The _____ value is the y -intercept of the quadratic function in standard form.
A.
The c value/constant
Q.
The equation x =h describes what in a quadratic function?
A.
The axis of symmetry.
Q.
What are the x - intercepts?
A.
X = {-1, 1}
Q.
What is the name of the special trinomials in the picture?
A.
Perfect Square Trinomials
Q.
Solve
A.
X ={ -3, 3}
Q.
Parabolas can be split down the middle and the left half is a perfect reflection of the right half. This property is called
A.
Symmetry
Q.
The formula for the axis of symmetry.
A.
X =-b/2a
Q.
The formula for the factored form (intercept form) of a quadratic equation.
A.
MULTIMEDIA
Q.
Identify the vertex and y intercept.
A.
(3,0) and y=8
Q.
Factor the expression.
A.
(b-10)(b+3)
Q.
Solve using the Complete the Square Technique
A.
A = {-5, 3}
Q.
The points where the graph crosses the x-axis
A.
Solutions/Zeros/X-intercepts/Roots
Q.
What is the relationship between the Axis of Symmetry and the vertex
A.
The axis of symmetry runs through the vertex. So the x value is the same.
Q.
Factored allows us to easily identify what characteristics of a quadratic function?
A.
The x-intercepts
Q.
A quadratic function has a discriminant that is positive. Determine if this graph could represent that equation. Explain.
A.
A positive discriminant would mean that the graph crosses the x axis twice. So this cannot be the graph.
Q.
Factor the expression.
A.
(2x+7)(x+6)
Q.
Solve using the Quadratic Formula.
A.
N = {-9, 15/2}
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