Vertically Stretch by a Factor of 3

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Stretch the graph vertically by a factor of 8 shrink. Each point on the basic graph has its y-coordinate tripled.

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Applying what we know on vertical and horizontal stretches we have n x 3m 14 x.

. Horizontal Shift right 1. Perpendicular 1 2 g t t 4. G -36 3D b.

Vertical stretch by 3. If vertically stretch by a factor of 3 and flip over the x-axis what is the equation of the new function. Reflection across the x-axis.

Vertical compression by a factor of 19. Stretch the graph vertically by a factor of 8 Shrink the graph vertically by a. Y 3x2 Heres the graph for this scaling.

Course Title MAT 220. Vertical stretch by a factor of 3 shift down 5 shift right 2 x2 3 2. If you vertically stretch the exponential function fx 2 by a factor of 3 what is the equation of the new function.

Required fields are marked. An exponential function with a base of 3 has been vertically stretched by a factor of 15 and reflected in the y-axis. Pages 26 This preview shows page 20 - 23 out of 26 pages.

Write the equation of an exponential function that has been transformed. To stretch it vertically by a factor of 3 multiply the entire function by 3. If 0 k 1.

In general when the standard form of a quadratic function ax2 bx c is converted into the vertex form ax - h2 k where the pair h k denotes the vertex of the parabola you can safely stretch it vertically by a factor of 6 by writing 6ax -. Write an equation of the function and state its math. The graph of gx 3sqrt3x is a vertical stretch of the basic graph y sqrt3x by a factor of 3text as shown in Figure262.

If a 1. In part b hx can also be written as. Y 3gx Plugging in the expression that represents gx this becomes the following.

While horizontal and vertical shifts involve adding constants to the input or to the function itself a stretch or compression occurs when we multiply the parent function f x bx f x b x by a constant a 0 a 0. 4 3 0 c. Vertical Shift up 1.

School Arizona Western College. Lastly lets observe the translations done on p x. SECTION 13 Transformations of Graphs MATH 1330 Precalculus 83 b 52 Down 5 Stretch vertically by a factor o 2 5 f f x x g x x h x x o o Note.

Vertical compression by 14. Gx a fx where a 1 gx 3 fx gx 33x 1 gx 9x 3 Upvote 0Downvote Add comment More Report Michael Janswered 061615 Tutor 55 Best Afterschool Tutor to Prepare You For Your Regents See tutors like this See tutors like this Only functions that are curves have stretches. Meaning n x is the result of m x being vertically stretched by a scale factor of 3 and horizontally stretched by a scale factor of 14.

Vertically stretched by a factor of 3 Vertically flipped flipped over the x axis Vertically shifted up by 6 units. Your email address will not be published. Then stretchexpand the graph.

If vertically stretch by a factor of 3 and flip over the x-axis what is the equation of the new. Gx 3x 3 6. Neither parallel nor perpendicular e.

Parallel f t 2 t. Gx 3x- 3 6 c. Vertical stretch by a factor of 8.

Gx - 3 6 d. Then compress the graph vertically by a factor of a. Ax 5x O B.

Q x 34 x 1 1 3 x4 1 1 p x4 1. Then compress the graph horizontally by a factor of 1k. Relate this new function gx g x to f x f x and then find a formula for gx g x.

Horizontal Shift left 2. Its y-intercept is 035. Given the identity function vertically stretch by 3 and shift down 4 units.

The parabola yx2 has been vertically stretched by a factor of 3 horizontally shifted to the left 4 units and vertically shifted up 10 units. For each of the following quadratic functions determine the zeros if possible and the coordinates of the vertex and sketch the graph. Recognizing a Vertical Stretch The graph is a transformation of the toolkit function f x x3 f x x 3.

63 x 0 when x 3. Given h t 3 t 4 2 a. Compared to the graph of y math.

Then stretchexpand the graph vertically by a factor of a. Vertical Shift down 1. Y ax2 So if a 3 we say that the reference parabola is scaled vertically by a factor of 3 and our equation for this would appear.

For a vertical stretch. What is the equation of the new Parabola. Horizontal xaxis y fkx If k 1.

For example if we begin by graphing the parent function f x 2x f x 2 x we can. Reflection across the y-axis. Vertical stretch by a factor of 3 a.

Show Solution Try It. 1 point Compared to the graph of y 1x the graph of y 3x 4 is a vertical stretch by a factor of 3 and a translation of 4 units left. If 0 a 1.

Leave a Reply Cancel reply. Its asymptote is the line y2. Answer 1 of 3.

Solution for Ax x- 3-2.

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