<u>Vertex</u>
y = -(x + 3)² + 1
y = -(x + 3)(x + 3) + 1
y = -(x² + 3x + 3x + 9) + 1
y = -(x² + 6x + 9) + 1
y = -x² - 6x - 9 + 1
y = -x² - 6x - 8
-x² - 6x - 8 = 0
x = <u>-(-6) +/- √((-6)² - 4(-1)(-8))</u>
2(-1)
x = <u>6 +/- √(36 - 32)</u>
-2
x = <u>6 +/- √(4)
</u> -2<u>
</u>x = <u>6 +/- 2
</u> -2
x = <u>6 + 2</u> x = <u>6 - 2</u>
-2 -2
x = <u>8</u> x = <u>4</u>
-2 -2
x = -4 x = -2
y = -x² - 6x - 8
y = -(-4)² - 6(-4) - 8
y = -(16) + 24 - 8
y = -16 + 24 - 8
y = 8 - 8
y = 0
(x, y) = (-4, 0)
or
y = -x² - 6x - 8
y = -(-2)² - 6(-2) - 8
y = -(4) + 12 - 8
y = -4 + 12 - 8
y = 8 - 8
y = 0
(x, y) = (-2, 0)
<u>Axis of Symmetry</u>
The axis of symmetry is equal to -3.
<u />
Answer: 7
step-by-step:
okay so first you do 7*5 which is 35 and 20+8 which is 28
then you get 35=28+x (the x is the ‘missing number’)
to find x you subtract 28 from both sides to keep the equation balanced
35-28=28-28+x
so 35-28 is 7 and 28-28 is 0 so then you have 7=x and your answer is 7
you’re doing algebra but instead of using variables your teacher is saying find the ‘missing number’ haha
The answer is 8 plus 10 equals 18
