What is the mirror image of point 3 9?
The mirror image of the point (x, y) in the x-axis is the point (x, -y). Thus, the mirror image of (3, 9) in x-axis is (3, -9).
How do you find the mirror image of a line?
Reflection – of a line segment Every point on the line segment AB is “reflected” in the mirror and appears on the other side of the line an equal distance from it. Drag either point A or B to see this. The reflection of a point, say A, is usually named by adding a small dash and is written A’.
How do you find the mirror image of a curve?
- If the symmetry line were y=x then the symmetry would be as simple as exchanging x and y coordinates. To reduce to such line you can find an isometry sending x+y+4=0 into x=y.
- So the symmetry map can be obtained by conjugation.
- So the equation y2=4x becomes (−4−x)2=4(−4−y), which is: x2+8x+32=−4y.
What is the mirror point of the Y intercept?
To find the reflection of the y intercept, duplicate the y value of the point and find the x distance to the AOS then travel the same distance on the other side of the AOS. In this case, the y value of the reflection of the y intercept, (0, -1) is –1, so the reflected point will also have a y value of –1.
What is a transformed graph?
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It’s a common type of problem in algebra, specifically the modification of algebraic equations.
What does the K do in transformation equations?
Shift Up and Down by Changing the Value of k You can represent a vertical (up, down) shift of the graph of f(x)=x2 f ( x ) = x 2 by adding or subtracting a constant, k . If k>0 , the graph shifts upward, whereas if k<0 , the graph shifts downward.
What are the effects of AH and K?
When written in “vertex form”: (h, k) is the vertex of the parabola, and x = h is the axis of symmetry. the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0). the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
How does changing the value of b affect a graph?
Changing the value of “b” will move the axis of symmetry of the parabola from side to side; increasing b will move the axis in the opposite direction. 3. Changing the value of “c” will move the vertex of the parabola up or down and “c” is always the value of the y-intercept.
What does K mean in functions?
Then k(x) is the function that gives the number 4 as its output no matter what the input. For example: k(10) = 4. f(k(x)) = f(4) = 3.