VOCAB!
This is the name for the imaginary line the cuts a parabola in half
Axis of Symmetry
If the vertex of a quadratic graph is the HIGHEST point it is called a ________________
maximum
What are the zeros of the function
p(x) = x2 - 2x - 24 ?
x = -4
x = 6
How many real-number solutions does
4x2 + 2x + 5 have?
Zero - it never touches the x-axis
When you are asked to solve a quadratic equation algebraically, what formula do you need to use?
Quadratic Formula
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DAILY
DOUBLE
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What is the vertex of the quadratic function
f(x) = (x + 6)2 + 3
What are the solutions of
2x2 - 4x - 6 = 0?
-1 and 3
Let h(t)= -16t2 + 64t + 80 represent the height of an object above the ground after t seconds.
Determine the number of seconds it takes to achieve its maximum height.
2 seconds
Which quadratic equation below is equivalent to
x2 + 18x - 4?
Red: y=(x+9)2 - 85
Black: y=(x+9)2 - 77
Pink: y=(x+18)2 - 4
Green: y=(x+18)2 - 328
Red: y=(x+9)2 - 85
This is the name for the shape of a quadratic graph
parabola
What is the minimum of the function
f(x) = x2 + 10x + 16?
(-5, -9)
What are solutions to the equation
3(x - 4)2 = 27?
1 and 7
A baking soda rocket is fired upwards with an initial speed of 80 feet per second. Its height, h, above the ground in feet can be modeled using the equation:
h(t) = -16t2 + 80t
At what time does it hit the ground?
5 seconds
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DAILY
DOUBLE
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If the two zeros of a quadratic function are
-3 and 5, what could be the equation
written in FACTORED FORM?
VISUAL
QUESTION
Could the factors of f(x) be (x + 2) and (x - 3) ?
Based on the graph, explain why or why not.
If a quadratic graph has a turning point at (-2, -7),
what is the equation for its aXis of symmetry?
x = -2
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DAILY DOUBLE
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What are the solutions of the equation
(2x - 3)(x + 7) = 0 ?
When an apple is dropped from a tower 256 feet high, the function h(t) = -16t2 + 256 models the height of the apple, in feet, after t seconds.
When does it hit the ground?
4 seconds
Given f(x)=-8x+7 and
g(x)= x2-12x+7
which values of x solve
f(x)=g(x)?
x=0 and x = 4
This number will always be the DEGREE of a quadratic function
2
What is the EQUATION for the axis of symmetry of a quadratic function with roots of -3 and 5?
x = 1
Solve 4w2 + 12w - 44 = 0 algebraically for w, to the nearest hundredth.
-5.14
2.14
The expression -4.9t2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch.
What is the initial height of the rocket?
2 meters
A ball is projected up into the air. The height of the ball above the ground, in feet, is modeled by the function h(t) = -16t2 + 96t + 112 , where t is the time, in seconds, after the ball is projected.
State the coordinates of the vertex and its meaning in context.
At 3 seconds, the ball reaches its max height of 256 feet