A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).
<h3>What is the Equation of a parabola?</h3>
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in the form (x, y);
a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.
Comparing the given equation with the equation of a parabola, we will get,
y = a(x -h)² + k
y = -4(x+3)² + 2
Hence, the vertex of the parabola will lie at (-3,2).
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Answer:
I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2
Step-by-step explanation:
Answer:
x = - 2, x = 6
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make the expression undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
Solve
- 3x² + 12x + 36 = 0 ( divide through by - 3 )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
x = - 2 and x = 6 ← are the excluded values
Answer:
Answer is C.
Step-by-step explanation:
(X-4, y-9) since it moves left its negative and the y went down makes that negative too
