Answer:
1. false
2. false
3. true
Step-by-step explanation:
1. If the value of a was negative, then the graph of the quadratic would open downwards because the negative sign would induce a reflection of the graph over the x-axis.
However, we can see from the graph that the quadratic opens up, so a is not negative and this statement is false.
2. The vertex of a quadratic equation is the minimum or maximum point. Here, since the graph points up, the vertex will be the minimum point. That point is actually (3, -1). Clearly, this is not (-1, 3), so the statement is false.
3. The axis of symmetry is essentially the line with the x-value of the vertex. Since the x-coordinate of the vertex is 3, that means the axis of symmetry is the line x = 3. Thus, the statement is true.
Answer:
14.2
Step-by-step explanation:
Answer:
x^2
Step-by-step explanation:
So there's very two obvious ones we can elimination immediately, that's f(x) = x, and f(x) = |x|. The reason for this is because we can just look at the first ordered pair of (-2, 4). If it was f(x) = x, then the ordered pair would be (-2, -2), but it isn't. Very similar reasoning for f(x) = |x|, except for this function each ordered pair should have the same magnitude or absolute value. So the f(-2) should output 2, since it's the absolute value, but of course this isn't the case since it's 4.
So let's look at 2^x
Since the y value is 4 and not 1/4, this is not the parent function
It should be the second option (x^2), and we can double check
(-2)^2 = 4
(-1)^2 = 1
(0)^2 = 0
(1)^2 = 1
(2)^2 = 4
It outputs the same y-values as the table so this is the parent function
Answer:
<h2>
<em>1</em></h2>
<em>Sol</em><em>ution</em><em>,</em>
<em>b</em><em>=</em><em>8</em>
<em>Now</em><em>,</em>
<em>9</em><em>-</em><em>b</em>
<em>=</em><em>9</em><em>-</em><em>8</em>
<em>=</em><em>1</em>
<em>Hope</em><em> </em><em>this </em><em>helps.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>
