Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
Yes it is because the value is constantly raising.
Answer:
Step-by-step explanation:
Answer:
I’m so tired, i thought you asked what the absolute devisation of Aries is?
Step-by-step explanation:
Answer:
Step-by-step explanation:
7.
roots=-2,-1,1,3
critical points=(-1.5,-3),(0,6),(2,-13)
absolute minimum=-13
End behavior :approaches +infinity
Relative max=6 at (0,6)
Relative min. =-3 at (-1.5,-3)
and -13 at (2,-13)
interval of increase=(-1.5,0)∪(2,∞)
interval of decrease=(-∞,-1.5)∪(0,4)
8.
roots=-1,2
critical points=(0.5,10.5),(4,-10.5)
Abs.max/abs.min=not defined
End behavior:-∞ to +∞
Relative max=10.5
Relative min=-10.5
interval of increase=(-∞,0.5) ∪ (4,∞)
interval of decrease=(0.5,4)
