Geometry! Please help. See image. BRAINLIEST!

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer:

B. $r_{x-axis}(x,y) \circ R_0,90\degree)$

Step-by-step explanation:

The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).

The mapping for reflection in the x-axis is

$(x,y)\to (x,-y)$

When we reflect triangle ABC in the x-axis, we obtain

A1(5,-2) B1(2,-4) and C1(2,-1).

The mapping for 90 degrees clockwise rotation about the origin is

$(x,y)\to (y,-x)$

When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;

A2(-2,-5) B2(-4,-2) and C2(-1,-2).

The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).

Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is

$R_0,90\degree \circ r_{x-axis}(x,y)$

The correct choice is B.

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kati45 [8]

The domain is about how far left-to-right the graph goes.
In relation to the x-axis, the graph starts at x = –3 (with an open circle at –3) and then continues over to the right forever.
This is the shown in the picture with the red markup.
In interval notation, this is (-3, infinity).

Remember to use that left-to-right orientation for interval notation!

The range is in turn about how low to how high the graph goes.
On the graph, I’d do the same thing I did on the red marked up graph and compare the graph to the y-axis.
The graph starts down at y = –5 (with an open circle at –5) and then continues on up forever.
In interval notation, this is (-5, infinity).