Key Features
Solutions
Transformations of Quadratics
Equation Work
Mixture
100
Does this graph in the back have maximum or minimum value?
A. Minimum B. Maximum
C. Neither D. Both
A. Minimum
100
True or false: The solution, root, x-intercept, and zero of a problem are all the same thing.
A. False, because the x-intercept and root are the same but the zero and solution are different
B. False, because the solution and root are the same but the x-intercept and zero are different
C. True
D. False, they are all different
C. True
100
If the blue graph is f(x) = x2 then the red must be...
A. g(x) = x2 - 5 B. g(x) = (x - 5)2
C. g(x) = (x + 5)2 D. g(x) = x2 + 5
A. g(x) = x2 - 5
100
What is the y-intercept for the equation:
y = -8x2 + 3x - 7
A. (0,3) B. (0,-7)
C. (0,7) D. (0,-8)
B. (0,-7)
100
What is the discriminant of 25x2 - 40x = -16?
What does that mean?
0
means 1 real root (double root)
200
What is the axis of symmetry for the following equation? y=4x2-8x+9
A. x=1
B. x=-8
C. x=2
D. x=-1
A. x=1
200
The quadratic equation x2 +6x = 1 is to be solved by completing the square. Which equation would be the first step in that solution?
A. x2 +6x - 1= 0
B. x2 +6x +36 = 1 + 36
C. x(x+6) = 1
D. x2 +6x + 9 = 1 +9
D. x2 +6x + 9 = 1 +9
200
What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?
A. horizontal shift left and vertical shift down
B. horizontal shift right and vertical shift up
C. horizontal shift down and vertical shift left
D. horizontal shift up and vertical shift right
A. horizontal shift left and vertical shift down
200
Which equation best represents the graph?
A. y = 2(x - 4)2 + 5 B. y = -2(x + 4)2 + 5
C. y = 2(x + 4)2 + 5 D. y = -2(x - 4)2 + 5
B. y = -2(x + 4)2 + 5
200
What is the vertex form of this quadratic?
A. f(x) = -(x + 2)2 - 4 B. f(x) = -(x - 2)2 - 4
C. f(x) = (x - 2)2 - 4 D. f(x) = (x - 2)2 + 4
C. f(x) = (x - 2)2 - 4
300
What is the equation for the axis of symmetry of
f(x)= (x +1)2 + 5
A. x = -1
B. x = 5
C. x = 1
D. x = -5
A. x = -1
300
The solutions of a quadratic equation are known as the _____.
A. Vertices B. Formulas
C. Roots D. Squares
C. Roots
300
How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7
A. reflection, vertical compression, horizontal right, vertical up
B. no changes were made to y = x2
C. vertical compression, horizontal shift left, vertical shift up
D. reflection, horizontal shift right, vertical shift down
A. reflection, vertical compression, horizontal right, vertical up
300
Find the vertex of f(x) = -x2 - 4x + 12.
A. (2,0) B. (-2,4)
C. (-2,16) D. (2,4)
C. (-2,16)
300
Which answer choice describes y = -3x2 +7x - 2 accurately?
A. opens down with a minimum
B. opens up with a maximum
C. opens down with a maximum
D. opens up with a minimum
C. opens down with a maximum
400
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
A. (5,-4) B. (15,-4)
C. (-15,-4) D. (-5,-4)
D. (-5,-4)
400
What are the x-intercepts of the function
f(x)= (x - 2)(x + 3)?
A. There are no real roots B. x = 2 or x = 3
C. x = -2 or x = 3 D. x = 2 or x = -3
D. x = 2 or x = -3
400
Which transformation transforms the graph of f(x) = x2 to the graph of g(x) = (x + 4)2?
A. a vertical translation 4 units down
B. a horizontal translation 4 units to the right
C. a vertical translation 4 units up
D. a horizontal translation 4 units to the left
D. a horizontal translation 4 units to the left
400
Complete the square for x2 + 12x + ____
A. x2 + 12x + 144
B. x2 + 12x - 36
C. x2 + 12x - 144
D. x2 + 12x + 36
D. x2 + 12x + 36
400
How many solutions does this graph have?
A. cannot be determined B. one
C. two D. no solutions
D. no solutions
500
The expression -16t2+100t represents the height in feet of a rocket t seconds after it is launched. The expression -16t2+80t+4 represents the height in feet of a second rocket t seconds after it is launched. Which expression is equal to the height of the second rocket subtracted from the height of the first rocket?
A. 20t + 4 B. 20t - 4
C. 32t2 + 20t + 4 D. 32t2 + 20t - 4
B. 20t - 4
500
Solve using the quadratic formula
D
500
In the equation f(x)=5(x+3)2-10 what does the 5 do?
A. Move up 5
B. Vertical Stretch by 5
C. Horizontal compress by 5
D. Reflect
B. Vertical Stretch by 5
500
What is the equation for the axis of symmetry of
f(x)= (x +1)2 + 5
A. x = -1 B. x = 5
C. x = 1 D. x = -5
A. x = -1
500
Find the solutions:
−3x2 + 4x − 5 = 0
