F(x) = -x²-17 is not a translation.
A translation of this graph would either have something added to/subtracted from the end of the function (the c value) or something added or subtracted to x before it is squared. f(x) = -x²-17 is a reflection, as the coefficient of x² is negative.
Every other choice has something either added to or subtracted from either x before it is squared or from the end.
Answer:
x = 88
The measurement of the other unknown angle is = 44°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
48 + x + x - 44 = 180 add like terms
4 + 2x = 180 subtract 4 from both sides
2x = 176 divide both sides by 2
x = 88
Now to find the measure of two other angles we replace x with 88
Answer:
The equation of the axis of symmetry is x = 
The coordinates of the vertex are ( , 
) ⇒ 2nd answer
Step-by-step explanation:
The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where
- h =
and k is value y at x = h - The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
- The minimum/maximum value of the function is (h , k)
∵ y = 4x² + 5x - 1
∵ The form of the quadratic function is y = ax² + bx + c
∴ a = 4 , b = 5 , c = -1
∵ The coordinates of the vertex points are (h , k)
∵ h =
∴ h = 
- To find k substitute x in the function by
∵ k = 4 ( )² + 5( ) - 1
∴ k = 4 ( 
) + ( 
) - 1
∴ k = 
- 
- 1
∴ k =
∴ The coordinates of the vertex are ( , )
∵ The equation of the axis of symmetry is x = h
∵ h =
∴ The equation of the axis of symmetry is x =
Hi there!
The answer is true.
Conditional Probability does refer to the probability of one event, given that another event has occurred.
For example, you could have picked a marble, and then picked another marble from the same jar. The color of the second marble picked would have been effected by conditional probability, increasing or decreasing probabilities of different colors of marbles being picked because of the removage of the first marble.
Hope this helps!
Answer:
The 27th term is -22
Step-by-step explanation:
So we know 59 is the first term
and for every term, its -3
So multiply -3 by 27= -81
59-81
-22
