Question

How can you use transformations to graph this function?
es002-1.jpg

Explain your steps.

Answer 1

Answer:

Sketch the graph of mr001-1.jpg.

Reflect the graph across the y-axis to show the function mr001-2.jpg.

Stretch the graph vertically by a factor of 3 to show the function mr001-3.jpg

Shift the graph up 2 units to show the function mr001-4.jpg

Step-by-step explanation:

Answer 2

Option A, B, C, and D : All the steps will be included in the listed seqeunce to form the required graph.

Graph Transformations :

1. Reflect : When there is a negation added to the X-value or the function i.e. Y-value, then the graph is simply reflected with respect to the Y-axis and X-axis respectively.
2. Shift : If a constant "k" is added or subtracted to the X-value or the function i.e. Y-value then the graph is simply shifted right or left by "k" units from X-axis or Y-axis respectively.
3. Strach : If a constant "k" is multiplied or divided to the X-value or the function i.e. Y-value then the graph is simply stretched right or left by the "k" factor from X-axis or Y-axis respectively.

Given function : $y = (3*7^{-x})+2$

The steps for graph formation can be accomplished using graphical transformations :

STEP 1 : First we sketch the basic exponential graph for $y=7^{x}$

STEP 2 : Reflect

Next, the value of x is negated i.e. "-x". So, the graph will be reflected with respect to Y-axis to get the graph for $f(x) = y=7^{-x}$

STEP 3 : Stretch

Next, the value of y is multiplied by 3. So, we stretch the graph vertically by a factor of 3 (expansion) to get the graph for $f(x) = y=3*(7^{-x})$

STEP 4 : Shift

Next, the value of y i.e. the overall function value is added by 2. So, we shift the graph vertically. As the constant is positive, the graph shifts up by 2 units to get the graph for $f(x) = y=2 + 3*(7^{-x})$.

Hence, all the steps provided in the options for Reflect, Stretch and Shift will be included in sequence for the graph formation.

To learn more about Graph Transformation, visit

https://brainly.in/question/8258943

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