8.1: Key Features of Quadratic Functions
The graph of f(x)= ax2 opens downward and is wider than the graph of f(x) = x2. What can be a value for a?
Any value for a that is negative and between zero and 1
State the vertex of the graph below.
f(x)=2(x+1)2+4
What is (-1,4)
State the axis of symmetry of the function of below f(x)=-x2-6x+8
What is x= -3?
State the function that represents the area of the rectangle with the dimensions below.
w: x+5
l:2x+7
What is f(x)=2x2+17x+35?
State if the function is exponential, quadratic, and linear.
x: -2, -1, 0, 1, 2
y: 4, 2, 0, -2, -4
What is linear?
Find the average rate of change of f(x)=2x2 - x - 4 over the interval -4 ≤ x ≤ 2.
what is -5?
State the axis of symmetry of the function y = -3(x-3)2+1
What is axis of symmetry: -3
State the y-intercept and axis of symmetry for f(x)=-2x2+16x+5
What is y-intercept = 5 and x = 4?
What is the b value that complete the function f(x)=2x2+bx+74 with a vertex (-6,0)
What is b=24?
State if the function is linear, quadratic, or exponential?
x: 1, 2 , 3 , 4 , 5
y: 3, 6, 11, 18, 27
What is quadratic?
The axis of symmetry and vertex of g(x)=-5x2 and f(x) = x2
What is the same, x = 0 & (0,0)?
State a graph that is 2 units horizontally to the right and 8 units down of f(x)=x2
What is g(x)=(x-2)2-8
Compare the functions below f(x)=x2+10x-10 and g(x)=x2-8x+4. Which function has the greatest axis of symmetry?
What is g(x) = x2-8x+4. AoS: x = 4
State the initial velocity and initial height of the function below.
h(t)=-16t2+40t+16
What is Initial Velocity: 40 and Initial Height: 16.
State if the function is exponential, linear, or quadratic.
x: -3, -2, -1, 0, 1, 2
y: 80, 40, 20, 10, 5, 2.5
What is exponential?
State the interval that y= -4x2 is increasing and decreasing.
Increasing: x≤0
Decreasing: x≥0
The function f(x)=-(x-45)2+50 represents the path in yards that a football travels after a quarterback throw the ball. State the maximum height.
What is 50 yards?
State the y-intercept, vertex, and axis of symmetry of the function below.
f(x)=2x2+12x-13
What is y intercept = -13, AoS: x = 4, (4, 67)
Josh wants to surround a 16 - in by 20 - in painting with a frame that is x inches wide. State is the function that represents the total area.
What is f(x) = x2+36x+320?
Which function get larger the fastest?
Plug in points 7, 8, & 9
y = 3x, y = x2, & y= 3x
What is y = 3x ?
Compare f(x) and g(x). Which function has a higher rate of change?
f(x) = (24/3)x2
g(x) = (18/2)x2
What is g(x)?
State a graph that is 3 units horizontally to the left and 5 units down of f(x)=(x+1)2-4.
What is g(x)=(x+6)2-9
Write the following function below in standard notation f(x)=-4(x-4)2+5.
What is f(x)=-4x2+32x-59?
State the initial velocity, initial height, and maximum of the function below.
h(t)=-16t2+64t+15
IV:64, IH:15, and Maximum Height: 79
Name at least three DC Characters
Any Marvel Characters automatically lose 500 points.