Answer:
The x intercepts are x=-4 and x=2
axis of symmetry x=-1
vertex (-1,-9)
D: {x: all real numbers}
R: {y: y≥ -9}
Step-by-step explanation:
f(x) = x^2+2x-8
y= x^2+2x-8
Factor the equation
What 2 numbers multiply to -8 and add to 2
4*-2 = -8
4+-2 =2
y = (x+4) (x-2)
The x intercepts are found when we set y =0
0= (x+4) (x-2)
Using the zero product property
x+4=0 x-2 =0
x=-4 and x=2
The x intercepts are x=-4 and x=2
The axis of symmetry is halfway between the x intercepts. It is symmetric must be in the middle of the x intercepts
1/2 (-4+2) = 1/2(-2) = -1
The axis of symmetry is at x=-1
To find the vertex, it is along the axis of symmetry. Substitute x=-1 into the equation
y = (x+4) (x-2)
y = (-1+4) (-1-2)
=3*-3
=-9
The vertex is (-1,-9)
The domain is the values that x can take
x can be any number
D: {x: all real numbers}
The range is the values that y can take
since the parabola opens upward, the vertex is the minimum,Y must be greater than or equal to -9
R: {y: y≥ -9}
Answer:

Step-by-step explanation:
Hello there!
I take it you are asking for the expression of the function shown.
Since it is a normal square root function moved 1 unit to the right, you will subtract 1 from x.
:)
The answer is D because denominators on a subtraction problem with fractions stay the same and (x+2)(x+1) is the simplified way of x squared +3x+2
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.
5x - 9y = 1
-9y = -5x + 1
y = 5/9x - 1/9
To do the opposite, take the original slope (5/9) and change the sign (-5/9).
To do the reciprocal, take the slope we changed (-5/9) and flip it as a fraction (-9/5).
This gives us a new slope of