Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:



Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33

y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
Answer:

Step-by-step explanation:





Answer:
-3x + 4y = 40.
Step-by-step explanation:
Let's convert the equation to standard form:
y - 4 = 3/4(x + 8)
y - 4 = 3/4 x + 6
y = 3/4x + 10
Multiply through be 4:
4y = 3x + 40
-3x + 4y = 40 (answer).