"Quadratic functions have Answer 1 Question 16, or x𝑥-intercepts, in any other case where the function crosses the x𝑥-axis at two separate points.
Question
"Quadratic functions have Answer 1 Question 16, or x𝑥-intercepts, in any other case where the function crosses the x𝑥-axis at two separate points.
Solution
Quadratic functions can have two x-intercepts. This happens when the function crosses the x-axis at two separate points. Here are the steps to find the x-intercepts of a quadratic function:
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Write down the quadratic function in standard form. The standard form of a quadratic function is y = ax^2 + bx + c.
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Set y equal to zero. The x-intercepts are the values of x where y is zero.
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Solve the resulting equation for x. This can be done by factoring, completing the square, or using the quadratic formula. The solutions to this equation are the x-intercepts of the function.
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If the equation has no real solutions, then the function does not have any x-intercepts. If the equation has one real solution, then the function has one x-intercept. If the equation has two real solutions, then the function has two x-intercepts.
Similar Questions
"Quadratic functions have Answer 1 Question 1 when the vertex is the only point that touches the x𝑥-axis."
Instructions: For the following quadratic functions, write the function in factored form and then find the x𝑥-intercepts, axis of symmetry, vertex, and domain and range.y=x2−2x−15𝑦=𝑥2−2𝑥−15Factored Form: y=(x𝑦=(𝑥 Answer 1 Question 18 Answer 2 Question 18 )(x)(𝑥 Answer 3 Question 18 Answer 4 Question 18 )) (Type least to greatest.)x𝑥-Intercepts: (( Answer 5 Question 18 ,, Answer 6 Question 18 )) and (( Answer 7 Question 18 ,, Answer 8 Question 18 )) (Type least to greatest.)Axis of Symmetry: x=𝑥= Answer 9 Question 18Vertex: (( Answer 10 Question 18 ,, Answer 11 Question 18 ))Domain: Answer 12 Question 18Range: y𝑦 Answer 13 Question 18 Answer 14 Question 18
When the quadratic function f𝑓 is graphed in the xy𝑥𝑦-plane, where y=f(x)𝑦=𝑓(𝑥), its vertex is (−4, −2)(-4, -2). One of the x𝑥-intercepts of this graph is (−274,0)(-274,0). What is the other x𝑥-intercept of the graph?(−192,0)(-192,0)eliminate(−114,0)(-114,0)eliminate(−94,0)(-94,0)eliminate(−54,0)
16) The graph of a quadratic function is called:*1 pointA) a lineB) a parabolaC) a hyperbolaD) a cubic
Question 11 of 25The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.A.3B.-1C.-18D.0
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