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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which is the graph of the function f(x) = x2 + 2x + 3?
Solution:
Given, the function is f(x) = x2 + 2x + 3
We have to find the graph of the function.
Let y = x2 + 2x + 3
Put x = -3
y = (-3)2 + 2(-3) + 3
= 9 - 6 + 3
= 9 - 3
y = 6
Put x = -2
y = (-2)2 + 2(-2) + 3
= 4 - 4 + 3
y = 3
Put x = -1
y = (-1)2 + 2(-1) + 3
= 1 - 2 + 3
= 4 - 2
y = 2
Put x = 0
y = (0)2 + 2(0) + 3
= 0 + 0 + 3
y = 3
Put x = 1
y = (1)2 + 2(1) + 3
= 1 + 2 + 3
= 3 + 3
y = 6
| x | -3 | -2 | -1 | 0 | 1 |
|---|---|---|---|---|---|
| y | 6 | 3 | 2 | 3 | 6 |
We can plot the graph using the points.
Therefore, the graph is a parabola with vertex (-1, 2).
Which is the graph of the function f(x) = x2 + 2x + 3?
Summary:
The graph of the function f(x) = x2 + 2x + 3 is a parabola with vertex (-1, 2).