Answer:
A. The graph has two zeroes.
Step-by-step explanation:
A <em>zero of a polynomial</em> is a value of x that makes the polynomial equal to zero.
In other words, it is <em>an x-intercept</em>.
The graph crosses the x-axis twice, so there are two zeroes.
Answer:
(i) k =1
(ii) y-intercept is 7
Step-by-step explanation:
<u>Given line:</u>
<u>Divide all terms by k to get slope-intercept form of the line</u>
<u>Since the gradient (slope) of the line is 2:</u>
<u>The equation is now:</u>
<u>y - intercept is found when x = 0</u>
- x = 0 ⇒
- y = 2*0 + 7
- y = 7
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.
