(x,y) -> (-y, x) This is a symmetry with respect to y=x, followed by a reflection across the y axis. Congruent.
(x,y) -> (x-2, y-1/2) This is a translation, but it follows different rules for each coordinate. Not congruent.
(x,y) -> (2x, 2y) This is a dilation. The resulting triangle will be similar, but not congruent. Not congruent.
(x,y) -> (-x, y) This is a reflection across the y axis. Congruent.
(x,y) -> (1/2x, 1/2y) This is a dilation. The resulting triangle will be similar, but not congruent. Not congruent.
Answer:
b is the correct answer
Step-by-step explanation:
This is how to solve the problem: "What is the transformations of f(x)=(x-2)^2-4"
Looking at the quadratic equation given,
f(x) = (x-2)^2 - 4
It's like seeing product of sum and difference of two squares.
(x-2)^2 - 4
[ (x-2) - 2 ] [ (x-2) + 2 ]
[ x - 2 - 2 ] [ x - 2 + 2 ]
[ x - 4 ] [ x ]
[ x^2 - 4x ]
So the final transformation of f(x) = (x-2)^2 -4 is f(x) = (x^2 - 4x).
In this way, we are able to show how a complicated equation to simple yet equal equation in quadratic form.
180/4 = x/6
4x=1080
x=270 miles
Answer:
18 2/3 miles. 4 x 2/3 =8/3 x 7 = 56/3 ÷3 = 18 2/3 miles.
