\begin{tabular}{|l|}\hline$$ \square $$ Question 3 \ If a Quadratic Function is written in \ $$ \begin{array}{l} ext { Standard Form, } f(x)=a(x-h)^{2}+k ext {, the } \mathrm{y} ext { - } \ ext { coordinate of the vertex represents the } \ ext { opposite value of } k .\end{array} $$ \ \hline O True \ O False \ \hline\end{tabular}

Question

\begin{tabular}{|l|}\hline$$ \square $$ Question 3 \ If a Quadratic Function is written in \ $$ \begin{array}{l}	ext { Standard Form, } f(x)=a(x-h)^{2}+k 	ext {, the } \mathrm{y} 	ext { - } \ 	ext { coordinate of the vertex represents the } \ 	ext { opposite value of } k .\end{array} $$ \ \hline O True \ O False \ \hline\end{tabular}

UpStudy AI · Accepted Answer

$$
\textbf{Step 1: Identify the form of the quadratic function.}
$$
The quadratic function is given in vertex form:
$$
f(x)=a(x-h)^2+k\,
$$
where the vertex is $$(h, k)$$.

$$
\textbf{Step 2: Analyze the vertex coordinates.}
$$
The vertex has coordinates $$(h, k)$$. This means the $$y$$-coordinate of the vertex is $$k$$.

$$
\textbf{Step 3: Compare with the given statement.}
$$
The statement claims that "the $$y$$-coordinate of the vertex represents the opposite value of $$k$$." If it were the opposite value, it would be $$-k$$, not $$k$$.

$$
\textbf{Step 4: Conclude the correctness of the statement.}
$$
Since the $$y$$-coordinate of the vertex is $$k$$ and not $$-k$$, the statement is $$\textbf{False}$$.

The statement is False.

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions