Im pretty sure its A might be wrong
Option B is correct.
Step-by-step explanation:
A triangle has vertices A(-3,-1), B(-6,-5), C(-1,-4). We need to find the transformation that will produce the triangle with vertices: A(3,-1), B(6,-5), C(1,-4)
Seeing the vertices of transformed triangle, we observe that the x-coordinate of vertices has been opposite of that in the original vertices, while y-coordinate remains same.
This shows it is reflection over y-axis. In which x-coordinate becomes the negative (opposite) of original coordinate while y-coordinate remains the same.
So, Option B is correct.
Keywords: Transformation of Triangles
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Answer:
x = 128 degrees
Step-by-step explanation:
First figure out the angle inside the triangle
1st step: add 55 and 73 together:
⇒ 55 + 73 = 128
2nd step: subtract the sum from 180:
⇒ 180 - 128 = 52
to find x, take 180 again and then subtract 52 from it:
⇒ 180 - 52 = 128
Answer:
Step-by-step explanation:
If XY bisects DF at point E, then DE = EF.
Given DE = 2y and EF = 8y-3
2y = 8y-3
subtract 8y from both sides
2y-8y = 8y-8y-3
-6y = -3
y = 3/6
y = 1/2
y = 0.5
DF = DE+EF
DF= 2y+8y-3
DF = 10y - 3
DF = 10(0.5)-3
DF = 5-3
DF = 2
First we find the vertex of parabola

The vertex of parabola is

Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,

And,

Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.

So the second point on parabola is (1,-5)
The plot of parabola is shown in image below: