Isolate z by itself:
To simplify variables with powers, subtract the smaller power from the bigger power:
The exponent will be
-3.
Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
A
8) y = (x + 3/2)² + 3/4
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
Multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1
In this problem, you have to find the y- intercept of
. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5. You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)
k=-7
Answer:
I am pretty sure that you just make the line steeper than the others, nothing specifically. I'm learning this in middle school and I would appreciate if someone else could specify on why
Step-by-step explanation:
