# How do you find the x and y intercepts for #f(x)=4x^2-36#?

##### 1 Answer

May 23, 2018

#### Explanation:

#"to find the intercepts, that is where the graph crosses"#

#"the x and y axes"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercepts"#

#x=0toy=0-36=-36larrcolor(red)"y-intercept"#

#y=0to4x^2-36=0#

#"add 36 to both sides and divide by 4"#

#4x^2=36rArrx^2=9#

#color(blue)"take the square root of both sides"#

#x=+-sqrt9larrcolor(blue)"note plus or minus"#

#x=+-3larrcolor(red)"x-intercepts"#