Step-by-step explanation:
hindi mai questions do please
Y-6=7(x-3)
The point-slope intercept form of a line that has a slope of 7 and passes through the point (-6,3) is y - 6 = 7 (x - 3)
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
- Move 4y to the front so it should be 4y=12-3x
- Divide the equation like how I did in the picture above then you should have y=3-3/4x
- Then you switch it to y=-3/4x+3 and that's your answer.
Now for 6x+2y=6
- Move 2y to the front so it looks like 2y=6-6x
- Then you divide the equation by 2 like in the photo above and that should give you y=3-3x
- Finally you switch the equation to y=-3x+3 because we are using the Slope Intercept Form. (Y=mx+b). That's your answer.
Sorry if my handwriting is bad.
