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- For all quadratics, the parent function is usually taken as $\cdots$?

- Relative to the parent $y=x^2$, what transformation produces $y=-x^2$?

- If the parent quadratic $y=x^2$ is reflected in the $y$-axis, what is the equation of the resulting quadratic?

- Find the image of the point $(2,4)$ after the parent quadratic $y=x^2$ has been stretched vertically by a factor of $5$

- Find the image of the point $(-3,9)$ if $y=x^2$ is compressed vertically by a factor of $\frac{2}{3}$, then translated $1$ unit up

- The quadratic $y=(x-1)^2$ can be obtained from the parent $y=x^2$ through which transformation?

- The quadratic $y=(x+2)^2$ can be obtained from the parent $y=x^2$ through which transformation?

- If the parent quadratic $y=x^2$ is stretched vertically by a factor of $5$, what is the resulting equation?

- If the parent quadratic $y=x^2$ is stretched vertically by a factor of $3$, then translated $2$ units to the left, what is the new equation?

- If the parent quadratic $y=x^2$ is stretched vertically by a factor of $4$, then translated $3$ units down, the vertex of the new quadratic is:

- Find the vertex of the quadratic that results from compressing $y=x^2$ vertically by $\frac{1}{5}$ then translating horizontally
$4$ units to the right.

- Which of the following points remains unchanged after $y=x^2$ is stretched vertically by a factor of $3$?

- Comparing $y=2x^2-2$ with the parent $y=x^2$, what are the transformations?

- If the vertex of $y=x^2$ becomes $(2,5)$, two possible transformations could be $\cdots$?

- If $y=x^2$ is stretched vertically by a factor of $3$, translated horizontally $5$ units to the right, then translated vertically
$7$ units down, what is the new equation?

- If $y=x^2$ is stretched vertically by a factor of $4$, reflected in the $x$-axis, then translated vertically
$6$ units down, what is the new equation?

- If $y=x^2$ is stretched vertically by a factor of $4$, translated horizontally $5$ units to the right, then translated vertically
$6$ units down, what is the vertex of the resulting quadratic?

- If $y=x^2$ is stretched vertically by a factor of $2$, reflected in the $x$-axis, then translated vertically
$8$ units up, what is the vertex of the new quadratic?

- If $y=x^2$ is compressed vertically by a factor of $\frac{1}{4}$, translated horizontally $5$ units to the right, then translated vertically
$7$ units down, what is the new equation?

- If $y=x^2$ is compressed vertically by a factor of $\frac{1}{3}$, reflected in the $x$-axis, translated horizontally $3$ units to the right, then translated vertically
$5$ units up, what is the new equation?