Question

X^2 − 10x + 21 = −3

x-int: _____________

a.o.s:_____________

Max or min:

Answer 1

Explanation:

x^2 − 10x + 21 = −3

x^2 - 10x + 24 = 0

(x - 4)(x - 6) = 0

x = 4, 6

X intercepts are at x=4 and x=6.

The axis of symmetry (a os ):

is x = (4+6)/2

That is x = 5

Max or min.

The coefficient of x is positive ( = 1) so

the function has a Minimum.

To find the coordinates of the minimum point in the graph of the function, we substitute x = 5 into the equation.

y = (5)^2 - 10(x) + 24

= 25 - 50 + 24

= -1.

So the minimum is at (5, -1)

The minimum value of the function is -1.