The correct answer is D. translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.
Let's go through each step:
1. Translate 2 units to the right: This means we shift the graph 2 units to the right. This is indicated by the (x-2) in the equation.
2. Reflect across the x-axis: The negative sign in front of the equation indicates a reflection across the x-axis. This means the graph is flipped upside down.
3. Stretch by a factor of 2: The coefficient -2 in front of the equation indicates a vertical stretch by a factor of 2. This means the graph is stretched vertically, making it narrower.
4. Translate up 2 units: This means we shift the graph 2 units upward. This is indicated by the "+2" at the end of the equation.
All these transformations result in the graph of y=-2(x-2)^(2)+2 which is a transformation of the original graph y=x^(2).
Which steps transform the graph of y=x^(2) to y=-2(x-2)^(2)+2
A. translate 2 units to the left, translate down 2 units, stretch by the factor 2
B. translate 2 units to the right, translate up 2 units, stretch by the factor 2
C. reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2
D. translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units
1 answer