Question

A function has a y-intercept of 4 and two x-intercepts, one at 3 and one at 6.

Which could be this function?
O
y = 3x2 + 6x + 4
O y = 6x2 + 3x +4
Oy
y= 22 - 6x - 4
O y= 22 - 2x + 4

Answer 1

D) y=2/9x2+2x+4

Explanation:

y-intercept=4

2 x intercepts= 3 and 6

so y-intercept is point where x is 0 like (0,y)

x-intercept is the opposite y is 0 (x,0)

that means y-intercept is (0,4)

x-intercept is (3,0) and (6,0)

the formula of slope intercept form is

y=mx+b

b= is y-intercept

that means

y=ox^2+mx+4

x-intercept is point where y is 0

so solve

now lets try the first option

This is are quadratic functions

you need to plug in both of these until u get one that is right

change the y until you get both x's

the first option if wrong

second one y = 6x2 + 3x +4 has no x-intercepts

3rd option y=3/4x^2-6x-4

last option is y=

2/

9

x2+2 has points at -6. and -2.9999 or -3