Intro to Lines and Parabolas
What does the m represent in the equation of a line: y = mx + b?
The slope of the line
1.5 ft
What is the correct factored form of this equation?: x²+5x-50
(x-5)(x+10)
Complete the square: y = x²+10x+6
(X+5)2 - 19
Solve: x²-49 = 0
x=7 x=-7
The equation y = -2.5(x-3)²+10 is a degree 3 equation and forms a parabola when graphed. True or False?
False
What is the maximum height that the ball reaches?
26.5 ft
What is the correct factored form of this equation?: x²-16x+55
(x-5)(x-11)
Complete the square: y = x²+14x-51
(x+7)2-100
Solve: 5x²-9x+18=4x²
x=6 x=3
Points (2,4) and (6,4) are labeled on a parabola. They can be referred to as the parabolas:
Roots (or zeroes)
How many seconds does it take for the ball to be at its max height?
1.25 secs
What is the correct factored form of this equation?: 3x²-21x-54
3(x+2)(x-9)
Complete the square: 5x² = 60x-20
-5(x-6)2+160
Solve: 6x2-18x-18=6
x = 4 x = -1
The line that divides a parabola directly in half is known as...?
The AOS (axis of symmetry)
When does the ball reach the ground?
After 2.54 secs
What is the correct factored form of this equation?: x²-169
(x-13)(x+13)
Complete the square: y = 4x² + 64x + 156
4(x+8)2-100
Solve: 4x²+7x-7 = 0
x = 0.71 (to 2 decimal places)
x = -2.46 (to 2 decimal places)
How long does the ball take to reach a height of 20 feet?
At 0.61 secs and 1.88 secs
What is the correct factored form of this equation?: 3x²+10x+8
(3x+4)(x+2)
Complete the square: 6x² − 48 = −12x
6(x+1)2-54
Solve: x²=-8x+65
x = 5 x = -13