4 years ago

What is the vertex of y=4x^2

Mathematics

1 answer:

Schach [20]4 years ago

3 0

Answer:

The point (0, 0).

Step-by-step explanation:

This is a parabola which is symmetrical about the y axis. The minimum value is 0. When x = 0 y= 0. The vertex is at the origin ( the point (0,0)).

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<img src="https://tex.z-dn.net/?f=solve%20the%20following%20logarithmic%20equation%3A%0Alog%20_%7B12%7D%20%28x-3%29%20-%20log_%7

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$\bf log_{12}(x-3)-log_{12}(x+7)=log_{12}(3)\\\\
-----------------------------\\\\
log_{{ a}}\left( \frac{x}{y}\right)\implies log_{{ a}}(x)-log_{{ a}}(y)\qquad thus\\\\
-----------------------------\\\\
log_{12}\left( \cfrac{x-3}{x+7} \right)=log_{12}(3)\impliedby 
\begin{array}{llll}
\textit{removing the log from}\\
\textit{both sides}
\end{array}
\\\\\\
\cfrac{x-3}{x+7}=3\implies x-3=3x+21\implies -24=2x\implies -12=x$