It's the graphs that don't touch the x-axis have complex roots. Roots are the points where the parabola touches the x-axis. A,C and E all cross/touch the x-axis so they have real roots.
non-real or complex root parabolas are: B, D, F
No, because u might have to find the mean or mode and the median is always in the middle
Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5
your answer is 39.
First you would add 7 and 2 to get 9. From there you would get the equation 3x/9=13.
Then you would multiple by the reciprocal, or 9/1 to cancel out 3x/9.
Then u multiply 9×13 because what u do to one side you have to do to the other.
Your equation should now say 3x=117.
Finally divide by 3 to solve for x.
X=39.