2 years ago

Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?

Mathematics

1 answer:

ivolga24 [154]2 years ago

8 0

Answer:

4 units to the left

Step-by-step explanation:

y = a (x - h)² + k

The h is a horizontal translation of <em>h</em> units.

For h > 0, move right

For h < 0, move left

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The height of a ball (in feet) after t seconds is given by the quadratic function h=-16(t-5)^2+116

Dmitriy789 [7]

Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm

$~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}$