Function a is a quadratic function with a vertex at (3, 4) and a leading coefficient of -1 function b has the equation y = |x + 2|. function a is then reflected over the x-axis and shifted down 2 while function b is reflected over the x-axis and shifted up 3. which function has the larger y-intercept after being transformed and by how much?

With the information given, we deduce that the parabola is

Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes

And to shift down a function, you subtract the shift from the equation: the equation becomes

Similarly, the other function is reflected over the x axis (sign change) and shifted up 3 (add 3 to the equation):

In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have

For the other function, we have