Line that divides the parabola
NettetBecause a> 0 a > 0, the parabola opens upward. The axis of symmetry is x= − 4 2(1) = −2 x = − 4 2 ( 1) = − 2. This also makes sense because we can see from the graph that the … NettetThere is a line through the origin that divides the region bounded by the parabola y = x - x2 and the x-axis into two regions with equal area. What is the slope of that line? Give exact answer. Hint: The two equal regions are also equal to half of the total area between the parabola and x-axis. Show transcribed image text Expert Answer
Line that divides the parabola
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Nettet19. okt. 2024 · Explanation: Vertical line is a line that divides the parabola into two equal parts. Advertisement Advertisement New questions in Math. Long division calculator with Remainders 38/987643 arrange -12,4,-13,8 in ascending order Supply the missing to complete the given sequences and find the nth tewrm NettetQuestion Transcribed Image Text: The line passing through the vertex that divides the parabola into two symmetric parts is - The two symmetric parts are mirror images of each other. called the Vertex: Expert Solution Want to see the full answer? Check out a sample Q&A here See Solution star_border Students who’ve seen this question also like:
NettetThe axis of symmetry of parabola is a line that cuts the parabola into two equal halves. Generally, the axis of symmetry of parabola is nothing but the axis of the parabola. … Nettet18. mai 2016 · A parabola can be described using a point and a line. Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form. A parabola's general equation is written as y = a (x - h)² + k or x = a (y - k)²+ h. Vertex here is indicated by (h, …
NettetParabolas. A quadratic function is a function that can be written in the form f ( x) = a x 2 + b x + c where a, b, and c are real numbers and a ≠ 0. This form is called the standard form of a quadratic function. The graph of the quadratic function is a U-shaped curve is called a parabola. The graph of the equation y = x 2, shown below, is a ... NettetThe axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the …
NettetThis also makes sense because we can see from the graph that the vertical line [latex]x=-2[/latex] divides the graph in half. The vertex always occurs along the axis of symmetry. For a parabola that opens upward, the vertex occurs at the lowest point on the graph, in this instance, [latex]\left(-2,-1\right)[/latex].
NettetFirst, we need to consider what the axis of symmetry is in a parabola. It’s the vertical line that divides the parabola into two congruent halves. If the quadratic function is written in standard form, then the axis of symmetry is equal to the vertical line 𝑥 … geeveston progress associationNettetQ: Problem #9: Consider the matrix -i 0 1 1 -6i 3 -i 1 -6i True or False: 0 is an eigenvalue of 4. A: Click to see the answer. Q: 5. Find the inverse Laplace transform of the given functions, 1 (a) (b) S - 3 4 s (s+3) A: Click to see the answer. Q: Write three equivalent expressions for the given expression please. dc fashion agencyNettetHere are the key features of the quadratic function y = -3x^2 - 24x - 49: Function type: The given equation represents a quadratic function, which is a type of polynomial function of degree 2. Axis of symmetry: The axis of symmetry of the quadratic function is a vertical line that divides the parabola into two symmetrical halves. dc fashion bloggers 2019Nettet11. jan. 2024 · Well, a parabola is a curve in which each point on the curve is equidistant from a fixed point called a focus and a fixed straight line called the directrix. Here is an image in Figure 1 showing a ... dcf arrestsNettetThis matches the slope of the corresponding line, and so we see that the line is indeed tangent to the parabola at the point (-1, 0). Similarly, we have that the line y = 2x + 3 is … dc fashion bloggers 2017Nettet18. mai 2016 · A parabola can be described using a point and a line. Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. … geeveston populationNettetLines will only intersect the x-axis once at most, but here we see that a parabola can intersect the x-axis twice, because it curves back around to intersect it again, and so for … dcf apply for food stamps florida