Question

Describe the translation of the function from the parent function f(x) = x².

f(x)=x^2+4
Select one:
a. The graph moved 4 units up the y-axis
b. The graph is now slimmer.
c. The graph is now wider.
d. The graph moved 4 units down the y-axis

Answer 1

`\bf \begin{array}{llll} \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \qquad if\ {{ D}}\textit{ is negative, downwards}\\\\ \qquad if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}} \end{array}`

now, notice the template above... now let's see your function
`\bf y=x^2+4\implies \begin{array}{llllll} y=&1(&1x&+&0)^2+&4\\ &A&B&&C&D \end{array}`

so.. what do you think was the shift then?