Table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have the tables shown in the picture.
We know the quadratic form of a parabola is:
y = ax² + bx + c
If a > 0 the parabola opens
In the equation:
y = x² - 6x
1 > 0 the parabola opens and y-intercept is:
y = 0 (plug x = 0 in the given equation)
a = 1, b = -6, and c = 0
Thus, table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.
Learn more about the parabola here:
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The y intercept is= (0,3)
Answer:
y = 6
Step-by-step explanation:
If the slope of a line is zero, then it is a horizontal line. This means that the line will have a constant y value for all x, hence the equation of the line is y = 6
Answer:
1. MN≅QP
MQ≅NP
2. MP≅MP
3. SSS congruence postulate
4. ∠N≅∠Q
5. CPCTC
Step-by-step explanation:
1. As per the property of parallelogram that opposite sides are congruent, in given case of parallelogram MNPQ the opposite sides
MN≅QP and MQ≅NP.
2. The reflexive property of congruence states that a line or a geometrical figure is reflection of itself and is congruent to itself. Hence in given case of parallelogram MNPQ
MP≅MP
3. SSS congruence postulate stands for Side-Side-Side congruence postulate, it states that when three adjacent sides of two triangle are congruent then the two triangles are congruent. In given case of parallelogram MNPQ, as the sides MN≅Q, MQ≅NP and MP≅MP hence
ΔMQP≅ΔPNM
5. As proven in part 4 that ΔMQP is congruent to ΔPNM, so as per the property of CPCTC (congruent parts of congruent triangles are congruent)
∠N≅∠Q
5. CPCTC stands for congruent parts of congruent triangles are congruent.
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