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1 answer:
The center of dilation <em>Y</em> is the point from which the other points expand or
contract away from or towards.
The true statement about A'Y' is; <u>Line A' Y' passes through the center of dilation</u>..
The given parameters are;
The scale factor of dilation of ΔXYZ = 3
The point of dilation = Point Y
Line YA is vertical (perpendicular) to the base XZ
In a dilation transformation, the extension or compression of the points
are relative to the center of dilation.
Following the dilation, the line AY is extended along AY to A' Y', therefore,
passing through the point <em>Y</em> which is the center of dilation.
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The option that is true is therefore; Line A' Y' passes through the center of
dilation (which is written as <u>line A prime Y prime passes through the center </u>
<u>of dilation</u>)<u>.</u>
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Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.
