Radical Operations & Intro to Quadratics
Use the quadratic formula to solve:
2x2 + 2x - 12
2,-3
Solve by factoring:
x2 - 9x + 20 = 0
x = -4
x = -5
A parabola has a vertex at (-3, 2). Where is the axis of symmetry?
x = -3
Is the equation linear, exponential, or quadratic?
y = 2x+ 4
Linear
Which type of equation helps find the line of best fit?
Slope Intercept Form
Complete the square.
x2 + 6x + ____
x2 + 6x + 9
Solve by factoring:
x2 + 3x - 18 = 0
x = 3 and x = -6
The graph of a quadratic function is called a
Parabola
Samiya charges $3 for a bowl and $2.50 for each pound of fruit picked at the orchard. Write an equation for the total cost of x pounds of fruit from the orchard.
y = 2.50x + 3
Jimmy went 5 miles in 2 hours, Bobby went 5 miles in 2 hours and 30 mins, David went 5 miles in 6 hours and 2 mins. Which person would be an outlier on the graph?
David
solve by using square roots
5b2-4=41
b=3, b=-3
Solve for the values of x:
(x + 2)(x - 3) = 0
{ -2, 3 }
Find the y-intercept
y = x2 - 6x + 5
(0, 5)
What type of function is f(x) = 2(x+4)2-7?
quadratic
Find the mean.
90, 100, 95, 85, 60, 80
85
Factor
k2+7x+10
(k+2)(k-5)
What property would you use to solve the following?
(x-3)(x+2)=0
Zero Product Property
Does the equation open up or down?
Y = -3x2 +7x - 2
down
What type of function best models the situation: A zombie virus has infected the population and the number of infected people triples every day.
exponential growth
What is the Median?
8,13,2,4,48,26
10.5
solve by factoring
(x-2)2=49
9,-5
What should you do first in solving this equation?
x2 + 6x - 13 = 3
Make it equal 0 by subtracting 3 on each side
What is the name of this form:
y = ax2 + bx + c
standard form
A bank account balance earning an annual interest rate.
Exponential
The data below shows the number of hours boys and girls spent studying for a test.
Boys: {2, 1, 3, 1, 2, 2}
Girls: {4, 1, 3, 2, 2, 4}
What is the difference in the interquartile range between the girls and boys?
1