Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Answer:
<em>(1,0) and (3,0)</em>
Step-by-step explanation:
The roots are always shown where the parabola crosses the x-axis.
In this particular graph, the parabola crosses at (1, 0) and (3, 0). Which means the roots are:
<em>x = 1 and x = 3</em>
Answer:
82° because
98° + 70° = 168°
360° - 168° = 192°
192° is for two angles, so it can't be 192°, 220°
it's not VERY obtuse angle. So it remains only 82°
Answer:
See below
Step-by-step explanation:
The result of the calculation of area ( L x W ) should have no more significant digits than the lowest factor ....in this case 75 has only TWO significant digits...... the naswer should have the same ...two
75 * 50.3 = ~3800 cm^2
the answer of this question is (-2,2)