Question

quadratic transformatl...
charish coleman
18 of 20 next
if $k(x) = x^2$ and $p(x) = -k(x) + n$, what is the value of $n$?
(the graph shows a parabola with vertex at (0, 3) and points (-4, -5) and (4, -5) marked.)

Explanation:

Step1: Define $p(x)$ using $k(x)$

Given $k(x)=x^2$, substitute into $p(x)$:
$p(x) = -x^2 + n$

Step2: Use a point on $p(x)$

Take the vertex $(0,3)$, substitute $x=0, p(x)=3$:
$3 = -(0)^2 + n$

Step3: Solve for $n$

Simplify the equation to find $n$:
$n = 3$

Answer:

$3$