Which is an equation of a line that has a y-intercept of 7 and is perpendicular to the graph of y=5x−3?
1 answer:
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Answer:
Step-by-step explanation:
- IMPORTANT FORMULA: the standard equation of a hyperbola whose transverse axis is parallel to the y axis is:
where, (h,k) : center of the hyperbola
a : semi conjugate axis [ length of conjugate axis/2]
b: semi transverse axis [ length of transverse axis/2]
- so, here a=3, b=7, [h,k]=[-5,8]
- by substituting these values in the above given formula,
- the equation of the hyperbola in standard form is :
Answer:
Please see attached image
Step-by-step explanation:
We start by finding the actual algebraic expression for g(x):
g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2
Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:
for x = 0 g(x) = 2
for x = 1 g(x) = 6
for x = -1 g(x) = -2
and joining them with a line.
