Linear Systems
Name the slope and y-intercept of the following equation
y=4x
slope = 4/1
y-intercept = 0,0
What is the direction of opening for the question below?
y=-5x²+2
The direction of opening is down.
Find the y-intercept in the following equation.
y=a(x-7)²- 9
y-intercept: -9
The longest side of each ride angle triangle is called......
The Hypotenuse.
Systems with infinite solutions will have....
a graph that would show 2 lines that are the same
Name the three quadratic forms.
Standard Form: y=ax²+bx+c
Factored Form: y=a (x-r) (x-s)
Vertex Form: y=a(x-h)²+k
Find the vertex in the following equation.
y=a(x-2)²+5
Vertex: (2,5)
Which acryonom is used to refer to trigonemetric ratios?
SOH CAH TOA
Solve the following substitution equation.
2x y = 4
4x + y = 9
(13/6, 1/3)
State the transformations applied to the following function.
y=(x+3)²-4
Vertical stretch by a factor of 3
Horizontal shift of left 4 units
Vertical shift up 2
Solve the following equation by using factoring.
x²+4x-12=0
x=2, x=-6
Solve.
Sin19
=0.15
Solve the following equation using elimination.
2x + 2y = 3
2x + 3y = 4
(1/10), (-7/5)
Re-write the following equation into vertex form
y=5x²-30x=41
y=5(x-3)²-4
Solve the following equation by completing the square.
y=3x²-9x+11
y=3(x-3/2)²+17/4
Cos A=4/5
=37
Solve the following equation using either substitution or elimination.
3x+4y=-1
5x+2y=-2
𝑥=-3/7
y=1/14
Solve the following equation using foil.
(6y-2) (7y+3)
42𝑦²+4𝑦−6
Solve the following equation by using the quadratic formula.
2x²+2x-4=0
x1=1 x2=-2
A fire hydryant is to be secured to the ground 10 m away with a guy wire as shown. Using a device known as a clinometer, a person measures the angle of elevation to the top of the pole to be 30 degrees . How high is the fire hydrant?
h=5.8m