Answer:
h = 5 and k = -8.
Step-by-step explanation:
The parent equation is f(x) = x², which is the equation of a parabola having the vertex at point (0,0).
The original equation is given by g(x) = (x - 5)² + k, ⇒ y = (x - 5)² + k
⇒ y - k = (x - 5)²
So, the vertex of the original equation is at (5, k) which is given to be (5, -8)
Therefore, h = 5 and k = -8. (Answer)
Wheres the graph? i cant help if theres no graph, sorry
Vertex: (1,-4)
axis of symmetry: x=1
min
minimum value: y=-4
x intercepts: -1, 3
y intercept: -3
i dont know how to find solutions or roots sorry
Hello!
To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.
Since we are given two points, we can use those two points to find two different equations.
Remember that ordered pairs are written as (x, y).
A(-2, 4)
y = -3x + b
4 = -3(-2) + b
4 = 6 + b (subtract 6 from both sides)
-2 = b
A) Therefore, the equation of the first ordered pair is y = -3x - 2.
B(5, 2)
2 = -3(5) + b
2 = -15 + b (add 15 to both sides)
17 = b
B) The equation of the second ordered pair is y= -3x + 17.
<u>Final answers</u>:
- A) y = -3x - 2
- B) y = -3x + 17
