The graph of y=x^2 is transformed by a stretch of scale factor 2 parallel to the x axis, followed by a translation of (0 3). WRITE DOWN the equation of the new graph

how about

y = (1/2)x^2 + 3

take a few points on the original and and the new one to confirm

To find the equation of the new graph after the given transformation, we need to apply the stretch and translation to the original equation.

1. Stretch parallel to the x-axis with a scale factor of 2:
When we stretch a function parallel to the x-axis by a scale factor of k, the equation becomes y = f(x/k). In this case, the equation becomes y = (x/2)^2.

2. Translation of (0, 3):
To translate a function, we add or subtract values from the x and/or y coordinates. In this case, we add 3 to the y-coordinate, resulting in y = (x/2)^2 + 3.

Therefore, the equation of the new graph is y = (x/2)^2 + 3.

To find the equation of the new graph, we need to apply the given transformations to the original equation of y = x^2.

First, let's apply the stretch parallel to the x-axis with a scale factor of 2. This means that the y-values (or the height of the graph) will remain the same, but the x-values (or the width of the graph) will be multiplied by 1/2.

The equation after the stretch is y = (1/2x)^2.

Next, let's apply the translation (0, 3). Since we are moving the graph vertically, we need to add 3 to the y-values.

Therefore, the final equation of the new graph is y = (1/2x)^2 + 3.

NOPE SIKE