The graph of the quadratic parent function is reflected across the x-axis, then shifted 5 units down and 4 units right. write the equation of the new function in vertex form.

This is about reflection of graphs.

y = -(x - 4)² + 5

We are told the graph is that of the quadratic parent function. Now, in transformations of quadratic functions, the parent function of the quadratic group is usually expressed as;

y = x²

       -y = x²

-y = x² - 5

-y = (x - 4)² - 5

Dividing through by -1 to get;

y = -(x - 4)² + 5

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  y = -(x -4)² -5

Step-by-step explanation:

-f(x) is a reflection of f(x) across the x-axis.

f(x) -5 is a translation down by 5 units.

f(x -4) is a translation right by 4 units.

Applying these transformations to y = x² gives, successively, ...

  y = -x²

  y = -x² -5

  y = -(x -4)² -5 . . . . . . the new equation in vertex form

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

step-by-step explanation: