Question

What is the range of the graph of y = (x - 7)2 + 2?

a) y= > or equil to 7
b) y= < or equil to 7
c) y= < or equil to 2
d) y= > or equil to 2

Answer 1

d) y= > or equil to 2

Answer 2

Let's see now. When a parabola opens down, the highest y-value it reaches is at its vertex. When a parabola opens up, the vertex in this case is the lowest y-value the parabola takes on. In this case, the parabola opens up since the leading coefficient is positive. Hence, the lowest y-value the parabola takes on will be y-value of its vertex. Since we are already given the parabola in vertex form, we see that the vertex of this parabola is at \(\bf (7,2)\). Since this is the lowest point the parabola goes through, what should be its range?

Here's a graph to help you out:

Answer 3

@danny562