To Find :
The equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7).
Solution :
A quadratic equation in vertex form is given by :
( Here, h, k is the vertex )
y = a(x-(-4))² + (-5)
y = a(x+4)² - 5
Now, putting (-3,-7) in above equation:
-7 = a( -3 + 4 )² - 5
a(1)² = -2
a = -2
Therefore, the equation of the quadratic is y = -2(x+4)² - 5 .
Answer:
Step-by-step explanation:
Given
Required
Determine the equation of line that passes through (-8,0) and parallel to
Parallel lines have the same slope.
In
The slope, m is
because the general form of a linear equation is:
Where
So, by comparison:
Next, is to determine the equation of line through (-8,0)
This is calculated using:
Where
So, we have:
multiply the x and y coordinates in P and Tand equate it the right hand side x and y coordinates respectively.
