Q and T are the midpoints of the legs, RV and SU , of trapezoid RSUV. If RS=3y+12, QT=y+25, and UV=2y+32, what is the value of y
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A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so
A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So
We can rewrite that without the primes and combine the powers of 2.
Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
- Let's find slope first.
- (1,-2)
- (-8,6)
Slope intercept form