Graphs 1
Transformations/ Domain and Range
Word Problems
Inequalities
Writing Equations
Graphs 2
100
What is the vertex of the equation
y=2(x+2)^2+6
What is (-2,6)
100
What is the parent function for quadratics?
y=x2
100
A soccer player's kick is modeled by the equation y=-.2x(x-40) , where x is the horizontal distance in feet and y is the height in feet. How far was the soccer ball kicked?
What is 40 feet?
100
What type of line does the following inequality have? y>2x2-4x-1
Dashed
100
Write y=-2(x-1)(x+3) in standard form.
What is
y=-2x^2-4x+6
100
A parabola that opens upwards has a vertex that represents the maximum or minimum
What is the minimum?
200
What are the x-intercepts of the following function?
y=-x2+3x+10
x=-2 and x=5
200
What transformation does the following equation have?
y=-x^2
Reflection across the x axis
200
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in feet above the ground after t seconds is modeled by y=-16t^2+46t+4
Approximately when does the pumpkin land?
About 3 seconds
200
Is (0,0) a solution?
Yes
200
Write y=1/2(x+4)^2-5 in standard form.
What is
y=1/2x^2+4x+3
200
When a (in the equation) is a negative value, the graph opens....
Down
300
What is the vertex of the following function?
y=3x2-12x+10
what is (2, -2)
300
State the domain and range of the following equation.
y=3x(x-2)
Domain:
(-infty,infty)
Range:
[-3,infty)
300
A pumpkin was launched. It's trajectory is modeled by f(t) = -16t2 + 32t + 1
Find its maximum height in feet
What is y = 17 feet
300
Is (2,1) a solution to the inequality:
y>=1/2(x+1)^2-5
Yes
300
The graph of a quadratic function passes through (-3,1) and has a vertex located at (-1,-5).
What is
y=3/2(x+1)^2-5
300
Equation for the axis of symmetry
x=(the x value of the vertex)
400
What is the vertex of the function?
y= x2 + 2x+5
What is (-1, 4)
400
What transformations does the following equation have?
y=2/3(x-3)^2
Vertical Compression and Shift Right 3
400
A flare is launched up with an initial velocity of 64 feet per second from the top of a 100 foot building. The equation h(t)=-16t2+64t+100 models this situation.
Determine the maximum height of the flare
164 feet
400
Is (-2,-6) a solution to the inequality
y<2/3(x-1)(x+5)
No It's on the dashed line
400
Equation of the graph. 
What is
y=(x-1)^2+3
400
The formula to find the x value of the vertex in standard form
what is -b/2a
500
What is the axis of symmetry of the following function?
y=-x2+3x+10
What is x = 3/2
500
If the equation y=-(x-2)^2+4 is shifted 3 units to the left and 2 unit down, what would be the new domain and range of the function?
Domain:
(-infty,infty)
Range:
(-infty,2]
500
At a swim meet, Janet dives from a diving board that is 20 feet high. Her position above the water is represented by the equation y=-4x2+12x+20, where x represents the time in seconds and y represents the height above the water.
After how many seconds does Janet enter the water? (hint: when y=0)
4 seconds
500
Describe how you would graph the inequality
y<(x+4)^2-1
1. Plot the vertex at (-4,-1) Use 2 points on either side to create the boundary points.
2. DASHED LINE
3. Shade BELOW
500
The graph of the function y=(x-1)2+3 is shown. The graph is translated 2 units to the left and 1 unit up. The new function is....
y=(x+1)2+4
500
The vertex of the quadratic y=x2 + 9x +10
What is (-4.5,-10.25)?