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[DOC File]Review Notes: Functions and Equations
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Students will explore odd and even functions via transformations of a function. Before Activity: Load inverses.act. Have the class login to Navigator. Have the students locate a point on the function drawn. Have them find the reflection over the y-axis. What do they notice about the resulting image? (it’s a parabola, it’s symmetric)
graph reflection across y axis

How to reflect a graph through the y-axis | StudyPug
the y-axis, the sign of its x-coordinate. ... The function for a reflection across line y=-x is . R y=-x x,y =(-y, -x) To reflect through the origin, the sign of the x and y coordinates . ... Reflect over the y=x . R (-2, 2) S (5, 0) T (3, -1) To reflect over the line . x = a (where . a.
reflections of functions

Teaching Odd and Even Functions in Pre-Calculus
2) Sketch the reflection of each graph in the y-axis and then determine the equation of the reflected image. a) b) c) 3) Use mapping notation to describe how the graph of each function can be found from the graph of the function . a) b) c) 4) Determine the zeros of the function after each transformation.
f x reflection

[DOC File]Unit 1 Transformations & Conics
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Reflecting with graph paper: Simply flip the figure over the x-axis or y-axis (whichever is directed). Reflecting without graph paper: To reflect over the x-axis, keep the x ordinate the same and make the . y ordinate its opposite. (x, y)((x, -y). Example: (3, 5)((3, -5) To reflect over the . y-axis, keep the y ordinate the same and make the
reflection over y axis

[DOC File]Transformations
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Develop the concept of a reflection over the x-axis (some will say it is over the y-axis, but in other function families the leading negative is a reflection over the x, so be sure they say it is a reflection over the x-axis) To prove their conjecture is correct, have students graph (on the same graph, f(x)=2x and f(x) = -2x or some other ...
function reflection across y axis

Stretching and Shrinking Functions - Quia
2. Reflect the triangle over the x-axis. 3. Reflect the triangle over . 4. Reflect the triangle over . 5. Reflect the triangle over the x-axis and then over . 6. Reflect the triangle over . Complete. 7. After a reflection over the line , (8, 11) is the image of point C. What is the original location of point C? 8. After a reflection over the y ...
reflection over y axis equation

[DOCX File]Weebly
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Reflections Across the y-Axis. You can visualize a reflection across the y-axis by imagining the graph that would result from folding the base graph along the y-axis. Symbolically, we define reflections across the y-axis as follows: Definition. For the base function f (x) , the function given by . g(x) = f (-x), can be sketched by reflecting f ...
y axis reflection

[DOCX File]UNIT 1 - tRANSFORMATIONS IN THE cOORDINATE PLANE
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The log function is the inverse on the exponential function, ie. its reflection over the line y=x. If a > 0, then ax > 0 for all real x. For this function, if a > 1, when x < 0, ax < 1. Similarly, if a < 1, when x > 0, ax < 1. Since these are inverse functions, we have the following: and . 2.8 Natural Exponent and Logarithm
reflect on the y axis

[DOC File]Reflections Worksheet - McBroom
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Graph ∆DOG and its reflection over the y axis and over the x axis. Then write the new vertices of the two new images. Vertices of Image reflected over y-axis _____ _____ _____ Vertices of Image reflected over x-axis _____ _____ _____ #2 ∆EFG has vertices E (1, 1), F (4, 1), G (1, 3). Graph ∆EFG and its reflection over the y axis and over ...
graph reflection across y axis

[DOC File]Worksheet 6.1 - Ordered Pairs Name
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C. A reflection across the y-axis, followed by a reflection across the x-axis. B. A dilation of 2 followed by a dilation of 1.5. D. A translation right 2 followed by a translation up 2. ____ 24. Prove the triangles are similar. A. SSS proves the triangles are similar, since two …
reflections of functions

Function reflection over y axis