The parabola is represented with the equation y = (1/4p)(x - h)^2 + k.
That is the vertex form of the equation, because h and k represent the coordinates of the vertex of the parabola, h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.
So the vertex is (h, k).
To place it in the graph you just need to know the values of h and k. For example, for a positive value of p, if they k and h are positive, means the vertex is in the first quadrant.
After that the number of zeros will depend on the value of k.
Again assuming p is positive, which implies that the parabola opens upward.
k = 0 means the parabola has one zero, because the vertex is just on the x-axis.
k > 0 means the parabola has none zeros, because the vertex will be above the x-axis and it will not intersect the x - axis.
k < 0 means the parabola has two zeros, because the vertex will be below the x - axis and it will intersect the x -axis at two points.
If p is negative, the parabola opens downward and the conclusions are the opposite
k < 0 the parabola has non zeros.
k > 0 the parabola has two zeros
k = 0 the parabola has one zero (just as when p is positive)
Option B is the correct answer
Step-by-step explanation:
Step 1 :
Given,
Maximum budget Sandra has for the trip is $90
Fixed rental fee = $30
Daily fee = $10
Step 2 :
Let x be the number of the days for which Sandra can go for the trip
If the daily fee is $10, the cost for x number of days would be 10*x
the fixed fee is $30
So the equation is represent the cost of the trip is 30 + 10 x
given that the maximum budget is $90, the above cost should always be less $90
So the required inequality is 30 + 10x ≤ 90
Option B is the correct answer
15x+25y=1875
Let
y=95-x
15x+25 (95-x)=1875
Solve for x
15x+2375-25x=1875
15x-25x=1875-2375
-10x=-500
X=500/10
X=50 the number of $15 items
Y=95-50=45 the number of $25 items
<h3>
Answer: D. g(x) = f(x)+4</h3>
The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.
We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.
