The quadratic function in vertex form is:
y = a(x - h)^2 + k
Where:
vertex = (h, k)
Axis of symmetry: x = h
The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.
The value of “h” determines how far left or right the parent function is translated.
The value of “k” determines how far up or down the parent function is translated.
Now that we have these definitions, we can substitute the given values into the vertex form to solve for “a”:
Use vertex = (-4, -1) and y-intercept, (0, 7):
7 = a(0+ 4)^2 - 1
7 = a(4)^2 - 1
7 = a(16) - 1
Add 1 to both sides:
7 + 1 = a(16) - 1 + 1
8 = 16a
Divide both sides by 16 to solve for “a”:
8/16 = 16a/16
1/2 = a
Since a = 1/2 (which is positive, implying that the parabola opens upward), and the vertex occurs at point (-4, -1) as the minimum point:
The quadratic equation in vertex form is:
y = 1/2(x + 4)^2 - 1
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Answer:
13.5 inches
Step-by-step explanation:
11.5 x 2.25 x 4
I could be wrong
Step-by-step explanation:
for such regular figures the volume is always
ground area × height.
the volume of the green box (bar on a rectangle) at the bottom is therefore
16×7×3 = 336 in³
the volume of the red object on top (based on a right-angled triangle) we get
5×3/2 × 6 = 5×3×3 = 45 in³
so, the total volume is the sum of both sub-volumes :
336 + 45 = 381 in³
y = 0x + 3
switch x and y and solve for y if possible
x = 0y +3
x = 3
Not a function because it doesn't pass the vertical line test .
The answer is D hope this helps