Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
Answer:
(x,y+7)
Step-by-step explanation:
A translation means you are moving the image a certain amount of units, in this case, 7 units up. Since x values are all horizontal x does not change, but all y values will be 7 units higher.
For example (1,2) becomes (1,9).
The common factor is b since they both share it.
Hope this helps
Answer:
- 43t - 22s - 3
Step-by-step explanation:
(–45t + 53s) + (–3 – 75s + 2t)
Opening the brackets
-45t + 53s -3 - 75s + 2t
Collecting like terms
-45t + 2t + 53s - 75s -3
Simplify the expression
-43t -22s - 3
Answer:
y-intercept: (0,6)
Step-by-step explanation:
You can always use an online graph, it helps a lot c: