I need help finding functions
1 answer:
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f(x)=y=√x looks something like this:
(4,2)
(9,3)
(16,4)
Whilst your graph is much higher slope, for lack of better term
Rules of transformation
f(x)+b - function is shifted b units upward (up y-axis)
f(x)-b - function is shifted b units downward (down y-axis)
f(x+b) - function is shifted b units to the left (negative x-axis)
f(x-b) - function is shifted b units to the right (positive x-axis)
-f(x) - function is reflected over x-axis
f(-x) - function is reflected over y-axis
bf(x) - vertical stretch for |b| > 1, vertical shrink for 0< |b| <1
f(bx) - horizontal shrink for |b| > 1, horizontal stretch for 0< |b| <1
**INVALIDATE my answer, as statements were given 10 mins after posted**
First we are going to express both equation in terms of 
to compare their slopes:
For our first equation:
For our second equation:
So now we have our system of equations in terms of y:
Notice that the slope, the coefficient of
, in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.
We can conclude that we can classify the system of equations as parallel.
For our first equation:
For our second equation:
So now we have our system of equations in terms of y:
Notice that the slope, the coefficient of
We can conclude that we can classify the system of equations as parallel.