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What is the name of the graph of a quadratic function?
What is the name of the graph of a quadratic function?
What is the name of the line that cuts the graph of a quadratic in half?
What is the name of the line that cuts the graph of a quadratic in half?
What is the name of the maximum or minimum of a quadratic function?
What is the name of the maximum or minimum of a quadratic function?
What is the vertex formula?
What is the vertex formula?
What is the set of all possible yvalues called?
What is the set of all possible yvalues called?
Solve this equation:
x^{2} = 49
Solve this equation:
x^{2} = 49
Solve this equation:
(2x+1)(x3)=0
Solve this equation:
(2x+1)(x3)=0
Solve the equation:
2x^{2}+6=26
Solve the equation:
2x^{2}+6=26
2x^{2}=32
x^{2}=16
x=±4i
Solve this equation:
x^{2}+6x+9=25
Solve this equation:
x^{2}+6x+9=25
(x+3)^{2}=25
√ both sides
x+3 = ±5
x=3±5
x=3+5=2 and x=35=8
x=2 and x = 8
Solve this equation:
0=2x^{2}7x5
Solve this equation:
0=2x^{2}7x5
Factor the expression:
x^{2}11x+24
Factor the expression:
x^{2}11x+24
Factor the expression:
x^{2}x132
Factor the expression:
x^{2}x132
Factor the expression:
25x^{2}4
Factor the expression:
25x^{2}4
Factor the expression:
2x^{2}+23x+11
Factor the expression:
2x^{2}+23x+11
Factor the expression:
3x^{2}+13x10
Factor the expression:
3x^{2}+13x10
What is the vertex of the parabola?
y=0.5(x+4)^{2}+6
What is the vertex of the parabola?
y=0.5(x+4)^{2}+6
Given: a=1
What is the equation of the parabola in vertex form?
Given: a=1
What is the equation of the parabola in vertex form?
Given: One xintercept is (0.5,0) and a = 2.
What is the equation of the quadratic function in intercept form?
Given: One xintercept is (0.5,0) and a = 2.
What is the equation of the quadratic function in intercept form?
y = 2(x  0.5)(x  5)
or
y = 2(2x  1)(x  5)
What are the coordinates of the xintercepts of this quadratic function?
y=16x^{2}  1
What are the coordinates of the xintercepts of this quadratic function?
y=16x^{2}  1
Solve: 0=16x^{2}1
(1/4, 0) and (1/4, 0)
What is the Axis of Symmetry of this quadratic function?
y=3x^{2}7x
What is the Axis of Symmetry of this quadratic function?
y=3x^{2}7x
By Vertex Formula:
x=(7)/(2*3)
7/6
or
1.1667
What is the range of this parabola?
What is the range of this parabola?
What is the equation in standard form?
y=(x+4)^{2}1
What is the equation in standard form?
y=(x+4)^{2}1
y=(x+4)(x+4)1
y=x^{2}+4x+4x+161
y=x^{2}+8x+15
What is the equation in standard form?
y=(x2)(x+10)
What is the equation in standard form?
y=(x2)(x+10)
y=(x^{2}+10x2x20)
y=(x^{2}+8x20)
y=x^{2}8x+20
What is the vertex form of the equation?
y=x^{2}10x+21
What is the vertex form of the equation?
y=x^{2}10x+21
y+c=(x^{2} 10x+c) +21
Find c: 1/2(10)=5→5^{2}=25=c
y+25 = (x^{2}10x+25)+21
y+25=(x5)^{2}+21
subtract 25 from both sides
y=(x5)^{2}4
A parabola has a vertex of (1,2) and passes through the point (0,0).
What is the equation of the parabola?
A parabola has a vertex of (1,2) and passes through the point (0,0).
What is the equation of the parabola?
From the vertex we know:
y=a(x1)^{2}2
From the point we know x & y:
0=a(01)^{2}2
0=a(1)^{2}2
0=1a2
2=a
Put "a" in the equation
y=2(x1)^{2}2
Write an equation in vertex form that has a range of y≤5.
Write an equation in vertex form that has a range of y≤5.
Answers Vary.
Any parabola with a ycoordinate of the vertex of 5 and opens down.
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Final Score:
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