Let $f(x) = 3x^2$. The graph of $f$ is translated $1$ unit to the right and $2$ units d

Question

Let $f(x) = 3x^2$. The graph of $f$ is translated $1$ unit to the right and $2$ units down. The graph of $g$ is the image of the graph of $f$ after this translation. Write down the coordinates of the vertex of the graph of $g$. Express $g$ in the form $g(x) = 3(x - p)^2 + q$. The graph of $h$ is the reflection of the graph of $g$ in the $x$-axis. Write down the coordinates of the vertex of the graph of $h$.

Accepted Answer

(a) $(1,-2)$. (b) $g(x)=3(x-1)^2-2$. (c) $(1,2)$.

Transformations of Graphs - Translations, Reflections and Scalings of Graphs

Transformations of Graphs - Translations, Reflections and Scalings of Graphs

Solution:

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