When does the graph of a quadratic function open downward? Explain your answer.

Question

When does the graph of a quadratic function open downward? Explain your answer. The vertex of a quadratic function is (2, -4) and the leading coefficient is -2. What is the vertex form of the equation for this function? For each of the two quadratic functions below, explain how the vertex of the parent function graph would be changed to make the graph of the given function. A. y_1 = x^2 + 4 B. y_2 = (x + 2)^2 - 4 What is the equation for the axis of symmetry to the function y = 3x^2 - 10x + 4 Give the coordinates of the vertex of the graph of the following function. f (x) = x^2 + 4x + 5

Explanation / Answer

Ans(1):
quadratic function is given by ax^2+bx+c=0
when a<0 then graph opens downward.

for example say function is -2x^2+5x+6=0

comparing with ax^2+bx+c=0 gives a=-2

we know that -2 is less than 0

Hence graph will open downward.

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