Name That Vertex!
What is the vertex of a graph?
The highest or lowest point. It is the middlemost point of the graph and cuts the graph symmetrically.
What point is the same as the maximum/minimum?
The Vertex
Evaluate the expression. Round decimals to the nearest hundredth. √(289)
±17
What is the axis of symmetry for a quadratic with a vertex of (8, -2)
x = 8
Solve the quadratic equation below.
x²–4 = 0
x = -2 and x = 2
Through what specific point does the axis of symmetry run through?
The vertex (max/min)
What is the vertex of the following quadratic equation if the x-coordinate is 3? y = −x² + 6x − 4
(3, 5)
Does the following quadratic have a maximum or a minimum? y = -4x²+6x-9
Maximum!
Solve the following for x. Round decimals to the nearest hundredth. x² = 65
x= ± 8.06
Find the roots of the quadratic equation below with the help of your calculator! y = -3x²–5
No Solution
What is the axis of symmetry of the following quadratic: y=x²+3
x = 0
What is the vertex of the following quadratic equation? y = x² - 4x +9?
(2, 5)
Does the following quadratic have a maximum or a minimum? y = 6x² - 8x -9
Minimum!
Solve the following for x. Round decimals to the nearest hundredth. 4x² + 9= 34
x = ± 2.5
Find the zeroes of the quadratic equation below. f(x) = 6x²-6x-12
x = -1 and x = 2
Determine the axis of symmetry for the following quadratic: y=x²+2x-8
x = -1
What is the vertex of the following quadratic equation? y = -2x² + 8x
(2, 8)
Consider the quadratic that has vertex (-8, 2) and has zeros of x = -12 and -4. Does the quadratic have a maximum or a minimum value?
Maximum!
Solve the following for x. Round decimals to the nearest hundredth. 4x² - 33=-1
x = ± 2.83
Solve the quadratic equation below. 0 = 15x²-60x+60
x = 2
Determine the axis of symmetry for the following quadratic: y =-2x²-8x-7
x = -2