What point is symmetric to (2,7) on this quadratic graph? OPTIONS

• (-5,0)
• (-2,4)
• (2,-1)
• (-6,7)

 (-6,7)

Step-by-step explanation:

Tow points, (x1, y1) and (x2, y2) are simetric in a quadratic graph when:

f(x1) = y1 = f(x2) = y2

so y1 = y2

Then if we have the point (2,7) we want to find other point that has the same value for y, this is (-6, 7)

So the correct option is  (-6,7)

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.