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- In standard reflections, we reflect over a line, like the y-axis or the x-axis. For a point reflection, we actually reflect over a specific point, usually that point is the origin.
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What is a point reflection?
How do you reflect a graph of a function f?
What is a reflection across the Y axis?
How do you reflect a function over a line y = x?
In standard reflections, we reflect over a line, like the y-axis or the x-axis. For a point reflection, we actually reflect over a specific point, usually that point is the origin . Formula r(origin) (a, b) → (−a, −b) Formula r ( o r i g i n) ( a, b) → ( − a, − b) Example 1.
Reflecting functions: examples. We can reflect the graph of any function f about the x-axis by graphing y=-f (x) and we can reflect it about the y-axis by graphing y=f (-x). We can even reflect it about both axes by graphing y=-f (-x). See how this is applied to solve various problems.
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- f(-x) multiplies all the x in the equation by negative 1 whereas negative f would make the entire equation negative.
- We know these two things: -f(x) = Reflection across x-axis f(-x) = Reflection across y-axis These are essential to know. Since -f(x) is a reflectio...
- the simple answer is it is curved because it is not linear (it is either linear or curved). So linear functions and absolute value functions (and s...
- What you have is confusing and not a function or an equation, you have minus a negative square root with nothing in the root, then you change it by...
- It all comes down to order of operations. Exponentiation takes precedence over subtraction, but parentheses take precedence over exponentiation. So...
- When you take the inverse of a function, its graph gets reflected across the line y=x. The graph of y=√x is half of a parabola, opening sideways, s...
- Not quite, the only way this would be true is if f(x)=x. Let's say f(x)= 3x + 4, then g(x) = f(-x) = -3x+4. Thus, if f(x)=1, that would mean 1=3x+4...
- g(0) simply means "the function g(x) evaluated at x = 0"
- Try making a visual or mental picture of these reflections. From this picture, you can make the following observations: 1) two points that are mirr...
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
- Simple reflections are a matter of looking at a line and a point, line, or polygon on one side of it. You want to figure out the distance between t...
- Great question! Let A be the point to be reflected, let k be the line about which the point is reflected, let B represent the desired point (image)...
- The reflection line is the line that you are reflecting over. Y=mx+b is just the basic slope-intercept equation. If you don't understand slope -int...
- count the spaces between the line you are reflecting over
- wow that is bonkers
- There is a part that says "I want to see Sal doing a similar question" which helped me since I was having trouble.
- Yep, just plug the coordinates for each point into the point-slope equation that is given to get the reflected points. Eg. In the last example in t...
- No questions are stupid! y=-1-x and y=x are both lines. When you reflect a point, it is an equal distance away from the line as your original point...
We can reflect the graph of y=f(x) over the x-axis by graphing y=-f(x) and over the y-axis by graphing y=f(-x). See this in action and understand why it happens.
- 7 min
Apr 18, 2023 · To reflect a point or object over the line y = x, switch the values of x to y and values of y to x. This process applies even for functions – meaning, to reflect a function over y = x, switch the input and output values. When given the shape graphed on the x y -plane, switch the x and y coordinates to find the resulting image.
May 10, 2019 · A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image. In this case, the Y axis would be called the axis of reflection. What is the rule for a reflection across the X axis?
