Factoring and Completing the Square
Parts of the Parabola
Equations
Application
100
3x²-3x (factor)
What is 3x(x-1)
100
What is the name of the line represented in x=? What does it mean.
What is the axis of symetry is the line that is equadistant from either the roots or zeros?
100
What are the names of the 3 Forms of Quadratic Equations.
What is Standard From, Vertex Form and Factored Form?
100
Star football player Paul Crowe threw a 66-yard pass from 6 feet in the air. Reggie Wayne caught the ball for a touchdown at 6 feet in the air. The ball when thrown represented a perfect parabola. What are the zeros of this parabolic arch? What is the axis of symmetry?
What is - Zeros are: 0 & 66 -Axis of symmetry: x=33
200
4x²+6x+¼ (complete the square)
What is (2x+½)²
200
What 2 key values can be used to solve for the vertex without an equation.
What is the Optimal Value (y-value) and Axis of Symetry (x-value)?
200
To go from Standard Form to Factored form, what is the first step?
What is factoring the equation?
200
If Nicky is standing on the edge of a cliff that is 52m high and is modeled by this equation f(x)=(x-21)²+53. Did he jump or get pushed off by Andrew?
What is Nicky jumped. This cliff is 52m high and the peak is 53m. Therefore Nicky jumped 1m high off the cliff.
300
12x²+32x-64 (factor)
What is 4(3x-4)(x+4)
300
Name the 5 main parts of a Parabola.
What is the Axis of Symetry, Zeros, Optimal Value, Vertex and Y-intercept?
300
What is the step pattern for the following equation? f(x)=20(x-47)+69
What is 20, 60, 100...
300
A parabolic arch supports a road way bridge. The supports are modeled by the following equation f(x)=3x²+6x+3. How many times does it touch the bridge?
What is the support touches the bridge 1 time.
400
1113x²+518+21(factor)
What is (21x+3)(53x+7)
400
What is the value needed to find the step pattern in this equation. f(x)=a(x-h)²+k
What is the a-value.
400
What is the zeros and axis of symetry from this equation? f(x)=(x-7)(x+1)
What is Zeros= 7 & -1 Axis of Symetry y=3
400
Star football kicker Adam Venatari kicked a 50-yard feild goal of wich the ball represented a perfect parabola. Modeled by the equation f(x)=-5t²-50t where t is time seconds.What time did the ball pass through the goal if the ball was 15m high?
What is 9.690 seconds
500
576x²+168x+13/8 (complete)
What is (24x+7/2)² -85/8
500
While playing Barbier ball in gym class, Jensen launched the ball towards the net. From this equation, answer the following question. What is the Optimal Value, Axis of Symetry and Vertex from the ball throw? f(x)=2(x-9)+7
What is Vertex= (9,7), Axis of Symetry=9 and Optimal Value=7.
500
Provide the other 2 forms of the equation if possible. f(x)=x²+12x+10
What is f(x)=(x+6)²-26 in vertex form Factored form can't be done.
500
A parabolic arch supports a bridge over a raod way. The vertex is (8,12), will a transport truck that is 6m wide and 10m high fit through?
What is yes, the truck would through the bridge.
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