If the vertex of a parabola is (3,5), what is the symmetry
1 answer:
Answer:
axis of symmtery: x = 3 or h = 3
Step-by-step explanation:
The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where <em>x</em> =<em> h</em>.
- In the standard form of quadratic equation, y = ax² + bx + c, the equation of the axis of symmetry is:
.
- In the vertex form of the quadratic equation, y = a(x - h)² + k, the equation of the axis of symmetry is:
.
Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence<em>, </em><em>x = h. </em><em> </em>
Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.
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Answer:
<em>C.</em>
Step-by-step explanation:
Given
Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;
Each term of a binomial expansion are always of the form:
Where n = the sum above
Compare to the above general form of binomial expansion
Substitute 6 for n
[Next is to solve for a and b]
<em>From the above expression, the power of (5) is 2</em>
<em>Express 2 as 6 - 4</em>
By direct comparison of
and
We have;
Further comparison gives
[Solving for a]
By direct comparison of
[Solving for b]
By direct comparison of
Substitute values for a, b, n and r in
Solve for
<em>Check the list of options for the expression on the left hand side</em>
<em>The correct answer is </em><em />