The quantities X and Y are proportional find the constant of proportionality (r) in the equation y=Rx
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
1) Use point-slope formula to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and
and
represent the x and y values of a point the line intersects. So, substitute
for m, -4 for
, and 7 for
. Then, simplify and isolate y on the left side like so:
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
The required equation of the quadratic function is where, a is a constant.
Putting a=1, we get
Therefore, the required quadratic function is .