Sketching Transformations of Monomial Functions In Exercises 15-18, sketch the graph of y = x n and each transformation. y = x 3 a f ( x ) = ( x – 4 ) 3 b f ( x ) = x 3 – 4 c f ( x ) = – 1 4 x 3 d f ( x ) = ( x – 4 ) 3 – 4
Sketching Transformations of Monomial Functions In Exercises 15-18, sketch the graph of y = x n and each transformation. y = x 3 a f ( x ) = ( x – 4 ) 3 b f ( x ) = x 3 – 4 c f ( x ) = – 1 4 x 3 d f ( x ) = ( x – 4 ) 3 – 4
Graph the function f by starting with the graph of y = x2 and using transformations
(shifting, compressing, stretching, and/or reflecting). [Hint: If necessary, write f in the
form f(x) = a(x – h)² + k.]
10-
8-
6-
f(x) = x² + 2x - 2
14-
Which transformations are needed to graph the function f(x) = x² + 2x – 2?
Choose the correct answer below.
2-
-2
10
O A. The graph of y = x should be horizontally shifted to the right by 1 unit
and shifted vertically up by 3 units.
10
-8
.6.
-4
+2-
O B. The graph of y = x? should be horizontally shifted to the right by 3 units
and shifted vertically down by 1 unit.
4-
O C. The graph of y = x² should be horizontally shifted to the left by 3 units
and shifted vertically up by 1 unit.
-8-
D. The graph of y = x should be horizontally shifted to the left by 1 unit and
shifted vertically down by 3 units.
-10
A
Graph the function f by starting with the graph of y = x2 and using transformations
(shifting, compressing, stretching, and/or reflecting). [Hint: If necessary, write f in the
form f(x) = a(x - h)² + k.]
10-
8-
f(x) = x² + 2x – 2
6-
Which transformations are needed to graph the function f(x) = x2 + 2x - 2?
Choose the correct answer below.
14
2-
O A. The graph of y = x² should be horizontally shifted to the right by 1 unit
and shifted vertically up by 3 units.
-10
-8.
-6.
-4.
-2
6.
8.
10
-2-
O B. The graph of y = x² should be horizontally shifted to the right by 3 units
and shifted vertically down by 1 unit.
-4-
OC. The graph of y =x? should be horizontally shifted to the left by 3 units
and shifted vertically up by 1 unit.
6-
-8
O D. The graph of y = x2 should be horizontally shifted to the left by 1 unit and
shifted vertically down by 3 units.
-10-
Click the graph, choose a tool in the palette and follow the instructions to create your graph.
Graph the function f by starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflecting). [Hint: If necessary, write f in the form f(x)=a(x−h)2+k.]
f(x)=4x2−8x+2
Which transformations are needed to graph the function
f(x)=4x2−8x+2?
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