A
Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
The x-coordinate of the vertex is
= - 
y = - 3x² + 2x - 7 is in standard form
with a = - 3, b = 2 and c = - 7, hence
= -
= 
Substitute this value into the equation for y-coordinate
y = - 3 (
)² + 2 (
) - 7
= -
+
-
= - 
vertex = (
, -
) → A
Answer:
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
-4,2).
The coordinates of the point that is a reflection of Y across the y-axis are (
4,-2).
Step-by-step explanation:
<em>Reflection across x-axis</em>
<em>The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.</em>
So,
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
-4,2).
Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2
<em>Reflection across y-axis</em>
<em>The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.</em>
So,
The coordinates of the point that is a reflection of Y across the y-axis are (
4,-2).
Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2
this is the answer hope it helps you
The length of the garden box would be 10ft if the width is 6ft.
The number of ways when the choice is not relevant is 4
<h3>How to determine the number of ways?</h3>
The number of colors are:
Colors, n = 4
The color to choose are:
r = 3
<u>Relevant choice</u>
When the choice is relevant, we have:

This gives

Evaluate
Ways = 24
Hence, the number of ways when the choice is relevant is 24
<u>Not relevant choice</u>
When the choice is not relevant, we have:

This gives

Evaluate
Ways = 4
Hence, the number of ways when the choice is not relevant is 4
Read more about combination at:
brainly.com/question/11732255
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