What is the slope in the following equation?
y=mx+b
the variable m
Solve the following quadratic equation.
x2 = 4
x = 2, x = -2
What is the horizontal asymptote of y = a(b)x ?
y = 0
x-axis
What is the linear parent function?
f(x) = x
Solve:
2x - 2 = -14
x = -6
Identify the slope of the following equation.
y = 2x +5
The slope is 2
Find the solutions to the following equation
(x - 3)(x + 2) = 0
x = 3
x = -2
Is the following function showing growth or decay?
y = 3(2)x
Growth
What is the quadratic parent function?
f(x) = x2
Rewrite the following equation into slope intercept form.
8x + 4y = 16
y = -2x +4
What is another phrase to describe slope?
Rate of change
Rise over run
Find the vertex of the following equation.
y = (x-5)2+4
(5,4)
Is the following function showing growth or decay?
y = 2(5/4)x
Growth
What is the exponential parent function?
f(x) = 2x
In a quadratic equation ax2+bx+c, describe the transformation if the a is negative.
The parabola is reflected across the x-axis.
What is the highest exponent in a linear equation?
1
x1
Factor the following equation and find the solutions.
x2+3x+2 = 0
(x+2)(x+1)=0
x = -2, x = -1
What is the y-intercept of the function below?
f(x) = 5(3.2)x
(0,5)
Graph the transformation:
quadratic function
up 2 and left 1
f (x) = (x+1)2 +2
Describe the transformations.
y = -(x-2)2+4
Reflection across the x-axis
Right 2 units
Up 4 units
Find the equation of the line that includes the following points.
(-2,3) and (2,1)
y = (-1/2)x+2
y = -0.5x+2
What is the discriminant and how many solutions are there to the following equation?
x2+25 = 0
Discriminant:
b2 - 4(a)(c) = 02 - 4(1)(25) = -100
No real solution
The population of Stayville starts off at 5,000 and grows by 13% each year. Write an exponential growth model and find the population after 3 years.
f(x) = 5000(1+0.13)x
f(3) = 5000(1.13)3
f(3) = 7215
Graph the transformation:
quadratic equation
right 2 and down 4
f(x) = (x-2)2-4
Write an equation to model the scenario.
A population of 2,000 increases by 12% each year.
y = 2000(1+0.12)x
y = 2000(1.12)x