The Equation is y^2-y^2/x^2-x^1 So it would be 14-17/1-8 Your Welcome!
Step-by-step explanation:
Recall that a parabola is the graph representing a quadratic equation, which is standard form is as follows:
y = ax2 + bx + c
where the value of 'a' determines whether the parabola opens upwards of downwards (i.e., the parabola opens upwards if a>0 and opens downwards if a<0) and the axis of symmetry is given by the line x = -b/(2a).
The vertex form of a parabola's (or a quadratic) equations is given by the following formula:
y = a(x - h)2 + k , where (h, k) is the vertex and the axis of symmetry is given by the line x = h.
Given that the vertex is at (0, 3), then ..... h = 0 and k = 3 ..... thus,
y = a(x - 0)2 + 3
y = a(x)2 + 3
With a point at (-4, -45), then ..... x = -4 and y = -45 ..... therefore,
-45 = a(-4)2 + 3
-45 = a(16) + 3
Solve for a by first subtracting 3 from both sides of the equation then dividing both sides of the equation by 16:
-45 - 3 = a(16) + 3 - 3
-48 = a(16)
-48/16 = 16a/16
-3 = a
With a vertex (h, k) at (0, 3) and given that a = -3, then the equation of this parabola in vertex form is as follows:
y = a(x - h)2 + k
y = -3(x - 0)2 + 3
y = -3x2 + 3
When solving an absolute value inequality,
you can split the problem up into two separate inequalities.
The first inequality will look just like the original problem,
minus the absolute value signs (x < 5).
In the second inequality, you must switch the direction
of the inequality sign and make the right side negative (x > -5).
The word “and” is used between the two inequalities when
we split things up, in this case x < 5 and x > -5.
The word "and" means intersection which means where the graphs overlap.
In this case, that's less than 5 and greater than -5.
In set notation, this reads {x: -5 < x < 5}.
Answer:
4x-6
Step-by-step explanation:
Less than means it comes after so we need to do the product of 4 and the number x
4x
Now subtract 6
4x-6
Answer:
the answer is k=-4 hope this helps
