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The minimum of a parabola is located at (-1, -3). The point (0.1) is also on the graph. Which equation can be
solved to determine the a value in the function representing the parabola?

Sagot :

Semsee45idn

Answer:

Equation of a parabola in vertex form:  y = a(x - h)² + k

Equation of the parabola: y = 4(x + 1)² - 3

Step-by-step explanation:

  • Equation of a parabola in vertex form:  y = a(x - h)² + k
    where (h, k) is the vertex

Substituting the given vertex (-1, -3) into the equation:

y = a(x + 1)² - 3

As the curve passes through point (0, 1), substitute x=0 and y=1 into the equation and solve for a:

1 = a(0 + 1)² - 3

⇒ 1 = a - 3

⇒ a = 4

Therefore, y = 4(x + 1)² - 3

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