Answer:
y = x² - 10x + 9
Step-by-step explanation:
The x-intercepts are 1 and 9
A quadratic equation is of the form

When x-intercept is 1
x-intercept = (1, 0)
The factor can be written as (x - 1)
When x-intercept is 9
x -intercept = (9, 0)
The factor can be written as (x - 9)
The equation y is a multiplication of the factors
y = (x - 1)(x - 9)
Expand the equation

Therefore, the quadratic equation in standard form is:
y = x² - 10x + 9