91Ó°ÊÓ

A quadratic function, which is written in the form, $y=a{x}^2+bx+c$, where,$a≠0$ is called the standard form of the quadratic function.

(1) The graph of $−f\left(x\right)$ reflect the graph of $f\left(x\right)$ across the $x$-axis.

(2) The graph of $f\left(x\right)+c$ shifts the graph of $f\left(x\right),\text{ â¶Ä‰}c$ units up.

(3) The graph of $k\text{ }f\left(x\right)$, will vertically stretch the graph of $f\left(x\right)$ by a factor $k$ if $k>1$ and will vertically compress the graph of $f\left(x\right)$ by a factor $k$ if $0<k<1$.

Observe the equation $h=−16t^2+14$.

The coefficient ofrole="math" localid="1647757558375" $t^2$ is negative, so the graph is reflected across the $x$-axis.

The graph is multiplied by $k=16$, so the graph is vertically stretched by a factor 16.

The constant term $c$is 14, so the graph is translated 14 units up.

Therefore, the graph of$h=−16t^2+14$ is the graph of$h=t^2$ reflected across the $x$-axis and vertically stretched by a factor 16 and vertically translated 14 units up.