Answer:
From the given graph , The equation y = x² - 3 x has x-intercept of 3 , 0
Explanation:
Given as :
Let The standard equation of line
y = m x + c
where m is the slope of line and c is y-intercept
For, x-intercept , put y = 0
For y-intercept , put x = 0
A) y = x + 3
for x-intercept , y = 0
So, 0 = x + 3
i.e x = - 3
B) y = x² + 3 x
for x-intercept , y = 0
So, 0 = x² + 3 x
i.e 0 = x² + 3 x
Or, x ( x + 3) = 0
Or, x = 0 , x = - 3
C) y = x² - 3 x
for x-intercept , y = 0
So, 0 = x² - 3 x
i.e 0 = x² - 3 x
Or, x ( x - 3) = 0
Or, x = 0 , x = 3
D) x = y² - 3 y
for x-intercept , y = 0
So, x = 0 - 0
i.e x = 0
Hence, From the given graph , The equation y = x² - 3 x has x-intercept of 3 , 0 Answer