
Quadratic functions-using vertex form
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Jeffrey Burgett
Used 3+ times
FREE Resource
4 Slides • 3 Questions
1
Quadratic functions-finding the vertex and graphing the equation when in vertex form
Objective: Students will be able to identify the vertex of an equation in vertex form and will be able to formulate a method to graph the equation
2
Vertex form of a quadratic equation
f(x)=a(x−h)2+k
3
Vertex form KEY points
(h, k) represents the vertex (highest or lowest point) of the parabola
The h in ( ) represents your which is your axis of symmetry (the vertical line that divides the parabola in 2 equal halves
The k represents your y (which is needed to complete your vertex)
The h also represents how the far the graph shifted horizontally when x = 0
The k also represents how far the graph shifted vertically when y = 0
4
Vertex form HINT when graphing
Whatever is in ( ) is set to zero and solve for x
If x has a coefficient of 1, your h value is the opposite of what you see
Your k value is what you see
Example: in the equation
(x+3)2+5 the value of h is -3 and the value of k is 5The vertex in the above example is (-3, 5) and shifts 3 to the right and 5 up from (0, 0)
5
Multiple Choice
What is the axis of symmetry of this equation?
3
2
-4
4
2
6
Multiple Choice
What is the vertex of this equation?
(2, -4)
(-2, 4)
(2, 4)
(-2, -4)
7
Open Ended
Sketch a graph for the following equation:
f(x)=3(x−2)2−4Quadratic functions-finding the vertex and graphing the equation when in vertex form
Objective: Students will be able to identify the vertex of an equation in vertex form and will be able to formulate a method to graph the equation
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