Question

which of the quadratic functions below has exactly one x-intercept?
a. y=x^2-9
b. y=x^2-6x+9
c. y=x^2-5x+6
d. y=x^2+x-6

Answer 1

i suppose its a

Answer 2

thats what i thought but apparently thats the wrong answer :(

Answer 3

the one that has only 1 x-intercept is the one that can be factored into this form:
\[\large y=(x-h)^2 \]
in other words, the right side is a perfect square trinomial.

Answer 4

for example, it cannot be A because x^2-9 can be factored as (x+3)(x-3)

Answer 5

hmm...okay