9.6k views
2 votes
Helpppppppppppppppppppppppp

Helpppppppppppppppppppppppp-example-1

1 Answer

2 votes

a) The vertex is the highest/lowest point of a parabola. Therefore, the vertex of this parabola is (1,2).

b) Find a point where it lies on an integer for both the x and y axis. You could use (3,1), (-1,1), (-2,0), etc.

c) The formula for a quadratic function given a vertex and a point is:

y = a(x-h)^2 + k, where (h,k) is the vertex of the parabola.

Plugging in our point for the vertex, we get:

y = a(x-1)^2 + 2.

We can use one of the points to solve for a.

1 = a(3-1)^2 + 2

1 = a(2)^2 + 2

1 = a(4) + 2

1 = 4a + 2

-1 = 4a

a = -1/4

Since we now know a, let's rewrite the equation.

y = (-1/4)(x-1)^2 + 2

User Cecilio Pardo
by
7.1k points

Related questions

asked Aug 27, 2024 161k views
Mendelt asked Aug 27, 2024
by Mendelt
8.2k points
2 answers
2 votes
161k views
asked Oct 5, 2024 1.2k views
Dmytro Danylyk asked Oct 5, 2024
by Dmytro Danylyk
8.6k points
1 answer
1 vote
1.2k views
asked Sep 17, 2024 205k views
Keith Morgan asked Sep 17, 2024
by Keith Morgan
7.5k points
1 answer
5 votes
205k views