Assume the expression is:
y = x² - 6x + 5
Complete the squares to get:
y = x² - 6x + 9 + 5 - 9
= (x - 3)² - 4
By the vertex form:
y = a(x - h)² + k where x = h is the axis of symmetry
x = 3 is the axis of symmetry.
y = x2 + 8x - 7 a = 1, b = 8, c = -7 the equation of the axis of symmetry: x = -b/2a x = -8/(2*1) = -4
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The list of choices that came along with the questiondoesn't include any graph that represents that equation.
That's not an equation, so there's nothing to graph. Simple way to tell: There's no "equals" sign in it.
slope
The slope of the line that represents the graph of that equation is 15.
There is no equation (nor inequality) in the question so there can be no graph - with or without an axis of symmetry.
Answer this question… What is the line of symmetry of the graph of the equation ? A. x = -2 B. x = -4 C. x = -16 D. x = -8
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
To determine the line of symmetry for the graph of the equation (y = 4x - 8), we need to identify the axis that divides the graph into two mirror-image halves. For linear equations like this one, the line of symmetry is typically vertical and can be found at the midpoint of the x-intercepts. In this case, since the graph is a straight line, it does not have a line of symmetry unless it is horizontal or vertical. Therefore, the concept of a line of symmetry does not apply to this linear equation.
X=-b/2a
y = x2 + 8x - 7 a = 1, b = 8, c = -7 the equation of the axis of symmetry: x = -b/2a x = -8/(2*1) = -4
35
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To determine if a graph is symmetric with respect to the x-axis, check if replacing (y) with (-y) in the equation yields an equivalent equation. For y-axis symmetry, replace (x) with (-x) and see if the equation remains unchanged. For origin symmetry, replace both (x) with (-x) and (y) with (-y) and verify if the equation is still the same. If the equation holds true for any of these conditions, the graph exhibits the corresponding symmetry.
y = 2x2 + 3x + 6 Since a > 0 (a = 2, b = 3, c = 6) the graph opens upward. The coordinates of the vertex are (-b/2a, f(-b/2a)) = (- 0.75, 4.875). The equation of the axis of symmetry is x = -0.75.
Without an equality sign the given expression can't represent the graph of a straight line equation.