Features of a Graph
Discriminant
Vertex Form
Graph Transformations
Ms. Kenzie's Choice
100
What are the roots of this graph?
-2 and 1 or (-2,0) and (1,0)
100
What is the value of the discriminant of the equation 9x^2 – 3x – 8 = -10 ?
-63
100
What are my a, h, and k terms? y = -5(x + 12)^2
a = -5 , h=-12, k=0
100
Explain the transformation from y^1 to y^2:
y^1 = 3(x + 1)^2 + 1 y^2 = 3(x + 2)^2 + 1
Shifts one unit to the left
100
True or False:
There are more yard flamingos in the world than real flamingos.
TRUE
200
What is the axis of symmetry?
x=3
200
A quadratic with a discriminant of 0 will have how many roots?
One
200
What is the vertex of the following equation? y = (x + 7)^2
(-7, 0)
200
Explain the difference between the parabolas
y^1 = x^2 – 2 and y^2 =-x ^2 – 2
y^1 is concave up and y^2 is concave down
200
True or False:
Mr. Marin has never ripped his pants at work.
FALSE
300
How many solutions are there? List them.
One solution: (2,0) or 2
300
How many solutions will this equation have? -6y^2 – 6 = -7y – 9
121, so two solutions
300
Write the equation of the graph in vertex form.
y = (x + 3)^2 – 1
300
Explain the transformations that occur y^1 to y^2
y^1 = 1/2 (x + 9)^2 – 12
y^2 = - 1/9 (x + 5)^2 + 1
shifts right 4, up 13, stretches wider, and flip over x-axis
300
How old was the oldest person to have lived? (That we know of!)
122
400
When graphing the equation
y = -3x^2 + 5x - 7 , which direction with the parabola open?
Down, the leading coefficient (a - term) is negative.
400
Is the discriminant positive, negative, or zero?
Negative, there are no solutions
400
What is the axis of symmetry for the following equation? y = (x – 1/4 )^2 + 1/2
x = 1/4
400
No. First, Remy confused the h and k values. He should have taken 2 away from the h value to move left, and 3 away from the k value to move down. Second, his original h value should be h = 2, making his new value h = 0. The new value of k would be -2.
400
-100-(-245)+17=
162
500
Which graph will have a narrower parabola,
y = -3x^2 + 5x - 7 or y = 1/3x^2 - 18x - 45 ?
y = -3x^2 + 5x - 7
500
How many and what type of roots does the following equation have? -8p^2 + 16p = 8p – p^2
two real, rational roots
500
Jalen wrote h=1, it should be h=-1 so the vertex should be (-1, 1)
a = -3, so the parabola should open downward
500
If f(x) = x^2 , what would g(x) be if it was transformed up 3, shifted left 2, and flipped vertically?
g(x) = -(x + 2)^2 + 3
500
What animal is responsible for the most human death?
Mosquitos