Answer:
yeah pretty sure
Step-by-step explanation:
2 is y -1 is x
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
<u>ANSWER:
</u>
The value of x after evaluating the given equation x + 6 - 5 = 8 - 2 is 5.
<u>SOLUTION:
</u>
Given, equation in one variable is x + 6 – 5 = 8 – 2
And, now, we have to find the value of the variable x in the equation by solving the given equation.
So, let us solve the given equation for x.
Then, x + 6 – 5 = 8 – 2
x = 8 – 2 – (6 – 5) [sending all the numerical terms on left side to the right side.
x = 8 – 2 – 6 + 5
x = 8 + 5 – 2 – 6
x = 13 – 8 = 5
Hence, the value of x after evaluating the given equation is 5.
Answer:
175°
Step-by-step explanation:
If angle x = 058° and angle y = 127° then the bearing A from point O is 360 minus angle x plus angle y.
Solution:
360° - (058° + 127°) = 175°
This is because the complete turn from north to north is 360°.
