Question

What are the x- and y-intercepts of the graph of y = x2 − 10x + 21?

Answer 1

To solve for the X intercepts make y equal to 0. Then factor the quadratic. It would become (X-7)(X-3)=0. Solve for x in each case and the X intercepts are (3,0) and (7,0). The y intercept can be determined by making the X variables in the above quadratic equal to 0. The y intercept is 21, or (0,21).

Answer 2

y intercepts: y = 21

x intercepts: x = 3 and x = 7

Explanation:

The given graph is y = x² - 10x + 21

We have to find the x and y intercepts of the given graph.

Since we know for x- intercepts we equate y = 0 and for y-intercepts we put x = 0

Now for x-intercepts

x² - 10x + 21 = 0

x² - 7x - 3x + 21 = 0

x(x - 7) - 3(x - 7) = 0

(x - 3)(x - 7) = 0

x - 7 = 0

x = 7

Or x - 3 = 0

x = 3

Therefore, there are two x intercepts x = 3 and x = 7

Now for y-intercepts

y = 0 - 0 + 21

y = 21

Therefore, x intercepts are; x = 3 and x = 7 and y intercept is y = 21