A vertical stretching is the stretching of the graph away from the x-axis.
A vertical compression is the squeezing of the graph towards the x-axis.
A compression is a stretch by a factor less than 1.
For the parent function y = f(x), the vertical stretching or compression of the function is a f(x).
If | a | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of a units.
If | a | > 1, then the graph is stretched vertically by a factor of a units.
For values of a that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.
Thus, the equation with the widest graph is 0.3x^2.
Check the picture below.
make sure your calculator is in Degree mode.
Answer:
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Answer:
Step-by-step explanation:
commission from sale of $32,000 = $32,000 x 4% = $1,280
Suppose sales would double, comission would be doubled too.
Assume sales be S and commission be C
C = S * 4% (they have a linear positive relation)
if S double to 2S, new commission = (2S)*4% = 2*(S*4%) = 2 (old commission)
Answer:
Step-by-step explanation:
x² + 9x + 18 = x² + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 3)(x + 6)
x² + 16x + 63 = x² + 9x + 7x + 63
= x(x + 9) + 7( x+ 9)
= (x + 7)(x + 9)
y² + 13y + 36 = y²+ 9y + 4y + 36
= y(y + 9) + 4(y + 9)
= (y + 4)(y + 9)
(a). Factored form of the expression (y² + 13y + 36) is (y + 4)(y + 9).
Therefore, Lyndsey's answer is wrong.
(b). Factors are (y + 4) and (y + 9).
(c). Factored form of the expression should be (y + 4)(y + 9) instead of Lindsey's answer (y + 6)(y + 6).
