# Graph G(x) = square root of x^2-5x-24

G(x)=x2-5x-24
Find the y value at x=-3.
Replace the variable x with -3 in the expression.
f(-3)=((-3)-8)((-3)+3)
Simplify the result.
Subtract 8 from -3.
f(-3)=-11((-3)+3)
f(-3)=-11⋅0
Multiply -11 by 0.
f(-3)=0
Rewrite 0 as 02.
f(-3)=02
Pull terms out from under the radical, assuming positive real numbers.
f(-3)=0
0
0
The y value at x=-3 is 0.
y=0
y=0
Find the y value at x=-4.
Replace the variable x with -4 in the expression.
f(-4)=((-4)-8)((-4)+3)
Simplify the result.
Subtract 8 from -4.
f(-4)=-12((-4)+3)
f(-4)=-12⋅-1
Multiply -12 by -1.
f(-4)=12
Rewrite 12 as 22⋅3.
Factor 4 out of 12.
f(-4)=4(3)
Rewrite 4 as 22.
f(-4)=22⋅3
f(-4)=22⋅3
Pull terms out from under the radical.
f(-4)=23
23
23
The y value at x=-4 is 23.
y=23
y=23
Find the y value at x=-5.
Replace the variable x with -5 in the expression.
f(-5)=((-5)-8)((-5)+3)
Simplify the result.
Subtract 8 from -5.
f(-5)=-13((-5)+3)
f(-5)=-13⋅-2
Multiply -13 by -2.
f(-5)=26
26
26
The y value at x=-5 is 26.
y=26
y=26
Find the y value at x=8.
Replace the variable x with 8 in the expression.
f(8)=((8)-8)((8)+3)
Simplify the result.
Subtract 8 from 8.
f(8)=0((8)+3)
f(8)=0⋅11
Multiply 0 by 11.
f(8)=0
Rewrite 0 as 02.
f(8)=02
Pull terms out from under the radical, assuming positive real numbers.
f(8)=0
0
0
The y value at x=8 is 0.
y=0
y=0
Find the y value at x=9.
Replace the variable x with 9 in the expression.
f(9)=((9)-8)((9)+3)
Simplify the result.
Subtract 8 from 9.
f(9)=1((9)+3)
Multiply (9)+3 by 1.
f(9)=(9)+3
f(9)=12
Rewrite 12 as 22⋅3.
Factor 4 out of 12.
f(9)=4(3)
Rewrite 4 as 22.
f(9)=22⋅3
f(9)=22⋅3
Pull terms out from under the radical.
f(9)=23
23
23
The y value at x=9 is 23.
y=23
y=23
Find the y value at x=10.
Replace the variable x with 10 in the expression.
f(10)=((10)-8)((10)+3)
Simplify the result.
Subtract 8 from 10.
f(10)=2((10)+3)
f(10)=2⋅13
Multiply 2 by 13.
f(10)=26
26
26
The y value at x=10 is 26.
y=26
y=26
List the points to graph.
(-3,0),(-4,3.46410161),(-5,5.09901951),(8,0),(9,3.46410161),(10,5.09901951)
Select a few points to graph.
xy-55.099-43.464-308093.464105.099
Graph G(x) = square root of x^2-5x-24