Question

1. $y = -x^2 + 2x + 4$

$a=$
$b=$
$c=$
$x = \frac{-b}{2a}$
substitute x to find y...
vertex (__, __)

Explanation:

Step1: Identify a, b, c values

From $y=-x^2+2x+4$, compare to $y=ax^2+bx+c$:
$a=-1$, $b=2$, $c=4$

Step2: Calculate x-coordinate of vertex

Use formula $x=\frac{-b}{2a}$
$x=\frac{-2}{2\times(-1)} = \frac{-2}{-2}=1$

Step3: Calculate y-coordinate of vertex

Substitute $x=1$ into $y=-x^2+2x+4$:
$y=-(1)^2+2(1)+4 = -1+2+4=5$

Answer:

$a=-1$, $b=2$, $c=4$
Vertex: $(1, 5)$