Which transformations correctly describe the change from the parent graph y=x^(2) to the function y=-4x^(2)-5 ? Select ALL that apply. a. Vertical Reflection b. Horizontal shift right c. Vertical Shrink d. Horizontal shift left e. Vertical Stretch f. Vertical shift down

Analyze Coefficient of x^2: Analyze the coefficient of x^2 in both equations. The parent graph has y = x^2, and the new function has y = -4x^2. The coefficient changes from 1 to -4 and flips sign, indicating a Vertical Reflection and a Vertical Shrink by a factor of 4. Check for Horizontal Shifts: Check for any horizontal shifts. The x^2 term in both equations does not have any added or subtracted constants inside the parentheses with x, which means there are no horizontal shifts. Examine Constant Term: Examine the constant term in the new function. The parent graph y = x^2 has no constant term, but the new function has -5. This indicates a Vertical shift down by 5 units.

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Which transformations correctly describe the change from the parent graph y=x^(2) to the function
y=-4x^(2)-5 ? Select ALL that apply.
a. Vertical Reflection
b. Horizontal shift right
c. Vertical Shrink
d. Horizontal shift left
e. Vertical Stretch
f. Vertical shift down

Which transformations correctly describe the change from the parent graph $y=x^{2}$ to the function $y=-4x^{2}-5$ ? Select ALL that apply. $\newline$ a. Vertical Reflection $\newline$ b. Horizontal shift right $\newline$ c. Vertical Shrink $\newline$ d. Horizontal shift left $\newline$ e. Vertical Stretch $\newline$ f. Vertical shift down

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Precalculus

Dilations of functions

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Q. Which transformations correctly describe the change from the parent graph

y=x^{2}

to the function

y=-4x^{2}-5

? Select ALL that apply.

\newline

a. Vertical Reflection

\newline

b. Horizontal shift right

\newline

c. Vertical Shrink

\newline

d. Horizontal shift left

\newline

e. Vertical Stretch

\newline

f. Vertical shift down

Analyze Coefficient of $x^2$ : Analyze the coefficient of $x^2$ in both equations. The parent graph has $y = x^2$ , and the new function has $y = -4x^2$ . The coefficient changes from $1$ to $-4$ and flips sign, indicating a Vertical Reflection and a Vertical Shrink by a factor of $4$ .
Check for Horizontal Shifts: Check for any horizontal shifts. The $x^2$ term in both equations does not have any added or subtracted constants inside the parentheses with $x$ , which means there are no horizontal shifts.
Examine Constant Term: Examine the constant term in the new function. The parent graph $y = x^2$ has no constant term, but the new function has $-5$ . This indicates a Vertical shift down by $5$ units.