Beginner
Intermediate
Challenge
0

What are the transformations of the following equations when graphed.

x^2 to 2x ^2 - 6

 

x^2 to -1/4x^2 + 6

thinner by a factor of 2 and down 6

turns upside down on the x axis, wider by a factor of 4 and up 6

600

The two equations below, solve for x algebraically

2x + 6 = 16

4 - 6x = -8

x = 5

x = 2

600

combine like terms and Solve for x Algebraically


3x + 4 = 5x - 10


x = 7

600

Use the quadratic formula to solve for the following equation in standard form. 


3x2 +10x + 5


x = -0.61

x = -2.72

1200

Use the zero product property to find the solutions of the quadratic equation in factored form ( write final answer coordinate points)

(x + 10) (x - 4)

x = -10   (-10,0)

x = 4    (4, 0)

1200

Use the zero product property to find the solutions of the quadratic equation in factored form (write your answers as coordinate points)

(-5-x) (1/2x - 6)

x = -5  (-5, 0)

x = 12  (12, 0)

1200

Use the quadratic formula to solve for the following equation in standard form. (hint: there may need to be some work done before finding a, b and c) round to two decimal places

10x2 + 12x -15 = 0

x = 0.76

x = 1.96

1800

Diego shot an arrow into the air. The following equation represents the height in feet per second the arrow is traveling through the air. Label what each term in the equation represents.

f(x) = -16x2 + 75x + 16

-16x2 represents the effect of gravity on the object

75x represents the velocity at 75 ft/sec

16 represents the initial height of the arrow when it was launched

1800

Use the zero product property to find the solutions of the quadratic equation in factored form ( write your answers as coordinate points)

(1/4x + 6)(2/3x + 7)

 

x = -24 (-24, 0)

x = 10.5 (10.5,0)

1800

Use the quadratic formula to solve for the following equation in standard form. (hint: there may need to be some work done before finding a, b and c) round to two decimal places


4x+10x - 8 = 0

x = 0.63

x = -3.14