Step-by-step explanation:
We can group the 5:
y = 5(x² + 2x + 1)
And we see that we can re-write the brackets:
y = 5(x+1)²
It is a parabola in the form:
y - yv = a(x-xv)²
Where yv is the y of the vertex of the parabola and xv the x of the vertex of the parabola. In our case:
yv = 0
xv = -1
Therefore we'll have a parabola with the concavity going upwards and the vertex in:
V(-1;0)
*Note: for graphing it take a random value of x (for example 2) and replace it into the equation, so you find the x, then you make the graph pass from that point.
