Answer:
y = - 
(x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - (x - 1)² + 2
Answer:
Its the 3rd answer :)
<em>x = 26.94</em>
Step-by-step explanation:
<h2><em>This is because 25.5 + 1.44 = 26.94 :) (inverse operations ;))</em></h2>
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Answer:
-3/4 g =x
Step-by-step explanation:
g=-4x/3
Multiply each side by 3
3g = -4/3 x *3
3g = -4x
Divide each side by -4
3/-4 g = -4x/-4
-3/4 g =x
Answer:
1.y=2x+7
2.y=1/2x+2
Step-by-step explanation:
Graph 1-
The slope-intercept form is y=mx+b
b= y-intercept which in graph 1 is 7
so y=mx+7
in order to find m you use the y2-y1/x2-x1 equation.
This means find two coordinates on the graph such as (0,7) and (-1,5).
Now find y2:5
y1:7
x2:-1
x1:0
y2-y1= 5-7=-2
x2-x1= -1
That gives you -2/-1 which you then simplify to = 2
So the graph would be y=2x+7
Graph 2:
You will do the same steps: Find where the line passes through y on a graph, which will be y=2.
b=2
y=mx+2
then find two coordinates, (0,2)(2,3)
y2=3
y1=2
x2=2
x1=0
y2-y1=3-2=1
x2-x1=2-0=2
The slope of the graph which is m= 1/2
y=1/2x+2
