Patterns of growth
What kind of growth is the function f(x) = x2 + 2?
Quadratic
What is the y-intercept of y = x2 + 2x + 10?
10
What form is this?
y = x2 + 3x - 15
Standard form
What is something in real life that can be modeled with a quadratic equation?
For example, projectile motion.
This kind of growth adds the same amount each step.
Linear
A population of frogs doubles every year. What kind of growth is that?
Exponential
A ball is shot into the air. What does the y-intercept represent?
The starting height.
What is -x2 if x = 3?
-9
If f(x) = x2 + 3, what is f(1)?
4
The function f(x) = 100(2)x represents the amount of moss on a rock where x is the number of years since 2000. How much moss was there in 2001?
200
Which of these is quadratic?
a. 2, 4, 6, 8, 10
b. 2, 5, 6, 5, 2
c. 2, 4, 8, 16, 32
b
A ball is shot into the air. What does the x-intercept represent?
When it hits the ground.
What form is this?
(x - 1)(x + 1)
Factored form.
What is the word for the minimum or maximum of a parabola?
Vertex
In the function f(x) = 50(3/4)x, how much is being lost each day?
1/4
A ball is shot into the air. Its height can be represented with the function
f(x) = -16x2 + 10x - 5.
What does the 10 represent?
The initial speed was 10 feet per second upward.
What are the x-intercepts of the equation
y = (x - 2)(x + 3)?
2 and -3
Turn the expression (x + 1)2 into standard form.
x2 + 2x + 1
What is the name of the shape a quadratic function makes on a graph?
Parabola
What is the lowest point of an absolute value function called?
A vertex
What comes next? 2, 5, 10, 17, ___?
26
When does a parabola have only one x-intercept?
When its vertex is on the x-axis
What is the x coordinate of the vertex of
y = (x - 6)(x - 2)?
4
The trajectory of a ball flying through the air can be modeled with
f(x) = -16x(x - 5)
How long did it take the ball to hit the ground?
5 seconds
A function's input is the age of a high schooler and the output is the high schooler's grade level. What is the range of the function?
9th, 10th, 11th, or 12th