Answer:
a=
Step-by-step explanation:
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:
(0, -4)
Step-by-step explanation:
because the y is the vertical line. (the one that is going up and down)
and it intercepts the blue line at (0, -4)
This is an equilateral triangle because all the angles are the same. This means the sides will be the same as well.
2x + 33 = 9.
Minus both sides by 33.
2x = -24
Then, divide both sides by 2.
x = -12