<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
Answer:
y=-9
Step-by-step explanation:
If x equals 2, then we can substitute that into the equation, resulting in the equation 2*2-2y=22
We can solve for multiplication first:
4-2y=22
Then we can subtract four on both sides, canceling out the four on the left side:
-2y=18
Now to isolate y, we divide both sides by -2, resulting in the solution:
y=-9
Hope this helps!
Answer:
0.46
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Expand L side to get
4n -12 -2n < -10 + 2n simplify L side
2n -12 < -10 +2n subtract 2n from both sides
<u>-12 < -10 </u> <===== so the equation is true for ALL n
(-∞ , + ∞ )
Answer:
I would just recommend you using M A T H W A Y and paying for the measly little $9.99 for the step-by-step answers.
Step-by-step explanation:
Or desmos would work but I would highly recommend m a t h w a y
