SOLUTION: 3. The parabola f(x)=x2 is transformed as described. State the equation that would represent each of the following.
a) The parabola is compressed by a factor of 0.5 and shifted 3
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Question 1198842: 3. The parabola f(x)=x2 is transformed as described. State the equation that would represent each of the following.
a) The parabola is compressed by a factor of 0.5 and shifted 3 units right.
b) The parabola is stretched by a factor of 2, reflected about the x-axis, shifted 5 units left and 2 units up.
4. Describe the transformations applied to f(x)=x2 to produce the function f(x)=2(x-5)2+10
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
3. The parabola is transformed as described. State the equation that would represent each of the following.
Transformations of Function Graphs
reflect over the -axis
reflect over the -axis
shift up units
shift down units
shift left units
shift right units
multiply -values by ( stretch, shrink vertical)
-values by ( shrink, stretch horizontal)
a) The parabola is compressed by a factor of and shifted units right.
shrink or compress vertically)
b) The parabola is stretched by a factor of , reflected about the -axis, shifted units left and units up.
4. Describe the transformations applied to to produce the function
the parabola is stretched by a factor of ,shifted units right and units up
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