Consider the quadratic functions represented below. Function #1 Function #2 x y -1 14 -0 6 1 2 2 2 3 6 4 14 Which function has a
greater minimum? Function # has a greater minimum. Function #3 has the equation, y = x 2 + 3x - 4. Complete the statement so that the minimums of the three functions are in order from least to greatest. # < #
1 answer:
Answer:
Function <u>#2</u> has a greater minimum.
#3 < #1 < #2
Step-by-step explanation:
In the picture attached, the question is shown.
The minimum of Function #1 is located at (3, -1). This is seen in the picture.
The minimum of Function #2 is located at (1.5, 1). We can see in the table that the function is symmetric respect 1.5 (half-point between 1 and 2).
The function y = x² + 3x - 4 has its minimum at its vertex:
x-coordinate of vertex: x = -b/(2a) = -3/(2*1) = -1.5
y-coordinate of vertex: y = (-1.5)² + 3(-1.5) - 4 = -6.25
So, the minimum of Function #3 is located at (-1.5, -6.25)
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Answer:
For the perfect square trinomial (quadratic) i.e. , the constant term (last term) is positive.
Step-by-step explanation:
"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.
For example:
Therefore, for the perfect square trinomial (quadratic) i.e. , the constant term (last term) is positive.
The congruence theorem that can be used is: B. ASA
<h3>What is the ASA Congruence Theorem?</h3>If we have two triangles that have two pairs of corresponding congruent angles (e.g. ∠LGH ≅ ∠HKJ and ∠LHG ≅ ∠KHJ), and a pair of corresponding congruent sides (e.g. GH ≅ HK), the triangles are said to be congruent triangles by the ASA congruence theorem.
Therefore, triangles GHL and KHL in the image given are congruent triangles by the ASA congruence theorem.
Learn more about the ASA congruence theorem on:
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