Answer:
-6/8
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where (X1,y1) is (-11,5) and (X2,y2) is(5,-7)
Slope=5+7/-11-5
=-12/16
= -6/8
So the slope is -6/8
Answer:
XY is a tangent
Step-by-step explanation:
Given
Required
Is XY a tangent?
XY is a tangent if:
Because XY should make a right angle at point X with the circle
Where
So, we have:
This gives:
<em>Yes, XY is a tangent</em>
He first two are relatively easy. f(x-2) shifts it sideways (2 to the right in this case) f(x) -2 shifts it straight down (by 2)
f(2x) means replace x with 2x in the original 4(2x + 1)^2 − 3 if you factor out the 2 from the square root you get 4*sqr(2) ( x + ½)^2 - 3 which is now in the form a ( x -h)^2 + k the vertex is now at (-½, -3) (it used to be at (-1,-3) the "a" has gotten bigger, which makes the parabola "skinnier" (it goes up faster)
2•f(x) becomes 2*( 4(x + 1)2 − 3 ) = 8 (x+1)^2 -6 where is the vertex now? is this parabola fatter or skinnier than the original f(x) ?
