Answer: Vertex (0, 3) 2nd Point (1, 2)
Step-by-step explanation:
h(x) = -x² + 3 is in standard form.
The Axis Of Symmetry can be found by using the formula: [tex]x = \dfrac{-b}{2a}[/tex]
h(x) = -1(x²) + 0(x) + 3 ⇒ a= -1, b= 0, c= 3
[tex]x=\dfrac{-(0)}{2(-1)}=0[/tex]
Plug the x-value into the equation to find the y-value of the vertex:
y = -(0)² + 3
= 3
So, the vertex is (0, 3)
To find a 2nd point, choose any value for x and plug it into the equation to find the y-value: I choose x = 1
y = -1(1)² + 3
= -1 + 3
= 2
So, the 2nd point is (1, 2)
