Answer:
C .
Step-by-step explanation:
I think , hope this helps
Answer:
Below in bold.
Step-by-step explanation:
Vertex form.
y = a(x - h)^2 + k
The point (h, k) is the vertex so from the graph:
y = a(x - 1)^2 - 8
From the x -interesect we see that x = 6 when y = 0 so
0 = a(6 - 1)^2 - 8
25a - 8 = 0
a = 8/25
So the vertex form is
y = (8/25)(x - 1)^2 - 8.
Factored form:
y = (8/25)(x + 4)(x - 6)
- as -4 and 6 are the zeros of the equation.
Standard form:
From the factored form we have
y = (8/25)(x^2 - 2x - 24)
y = 8/25 x^2 - 16/25 x - 192/25
or (in decimal form):
y = 0.32x^2 - 0.64x - 7.68.
Answer:
You need to have some idea where you want to start if you're going to derive equations for these. You can start with a definition based on focus and directrix, or you can start with a definition based on the geometry of planes and cones. (The second focus is replaced by a directrix in the parabola.) In general, these "conics" represent the intersection between a plane and a cone. Perpendicular to the axis of symmetry, you have a circle. At an angle to the axis of symmetry, but less than parallel to the side of the cone, you have an ellipse. Parallel to the side of the cone, you have a parabola. At an angle between the side of the cone and the axis of the cone, you have a hyperbola. (See source link.)
You can also start with the general form of the quadratic equation.
.. ±((x-h)/a)^2 ± ((y-k)/b)^2 = 1
By selecting signs and values of "a" and "b", you can get any of the equations. (For the parabola, you probably need to take the limit as both k and b approach infinity.)
Answer:15
Step-by-step explanation:
1 2/3*9=15
Convert decimal to fraction
a^2+(21/10)^2=2.9
Use exponent rules
a^2+441/100=2.9
Move constant to the right
a^2=2.9-441/100
Calculate
a^2=-151/100
This equation has no solution.