3+c .........................
Answer:
-32
Step-by-step explanation:
i took the test
Answer: Perpendicular
y = 5 is a horizontal line through 5 on the y axis
x = -1 is a vertical line through -1 on the x axis
Answer:
A public communications director would make $1,196,800 over a period of 20 years.
Step-by-step explanation:
The median salary of an engineer is $73,400 per year.
Piper has researched that a public communications director makes $13,560 less than this. (so we need to take this amount from the salary of an engineer)
Therefore, we would have that a public communications director would make
73,400 - 13,560 = $59, 840 per year
Now, the problem asks us how much a public communications director will make over a period of <u>20 years</u>, thus, we have to multiply the amount she will get per year by 20.
Thus, over 20 years she would make: <u>59,840 x 20</u> = $1,196,800
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
