(By factoring & setting the answer equal to zero)
B.) use h=-b/2a to get vertex
Answer:
see below
Step-by-step explanation:
y=x^2-4x-12
Set equal to 0 to find the zeros
0 =x^2-4x-12
Factor. What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
0= (x-6) (x+2)
Using the zero product property
0=x-6 0 = x+2
x=6 x = -2
zeros: -2,6
Vertex
h = -b/2a = - (-4)/ 2(1) = 4/2 = 2
OR Average the roots (-2+6)/2 = 4/2 =2
The y coordinate is found by substituting into the equation
y = (2)^2 -4(2) -12
y = 4-8-12
y =-16
vertex : (2, -16)
Answer:
x = -2, 6
Vertex: (2,-16)
Step-by-step explanation:
x² - 4x - 12
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x - 6)(x + 2) = 0
x = -2, 6
h = -(-4)/2
h = 4/2
h = 2
k = 2² - 4(2) - 12
k = 4 - 8 - 12
k = -16
Vertex: (2,-16)
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
If lines are parallel then they have the same slope (m)
This means that the slope of the line will be 3:
y = 3x + b
Now we must find b
To do that you must plug in the point the line goes through in the x and y of the equation.
(-6, 3)
3 = 3(-6) + b
3 = -18 + b
21 = b
y = 3x + 21
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
y = 3x + 21
Step-by-step explanation:
The formula of a line goes in y= mx + c
Parallel lines have different y-intercepts but the same gradients so we can assume that
y = 3x + c
Substitute in the coordinates (-6 , 3) to work out the full equation
3 = -18 + c
So c = 21
Therefore the equation of the line that is parallel to y=3x+5 passing through (-6,3) is y = 3x + 21
For this case we have that by power properties it is fulfilled:
Now, we can rewrite the expression as:
We also have by definition of properties of powers that:
So:
Answer:
Option D