SOLUTION: Please help with this question.
A quadratic function has these characteristics:
x = 1 is the equation for the axis of symmetry.
x = - 1 is an x-intercept.
y = - 4 is the
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Question 1137546: Please help with this question.
A quadratic function has these characteristics:
x = 1 is the equation for the axis of symmetry.
x = - 1 is an x-intercept.
y = - 4 is the minimum value.
Determine the y-intercept of this parabola.
Explain your thought process.
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The axis of symmetry is x=1, and one root is x = -1; therefore the other root is 3. So the equation still in factored form is
To find the value of a, use the fact that the minimum value is at (1,-4):
So the equation is
Then to answer the question that is asked, set x=0 to find that the y-intercept is (0,-3).
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
---
A quadratic function has these characteristics:
x = 1 is the equation for the axis of symmetry.
x = - 1 is an x-intercept.
y = - 4 is the minimum value.
---
Vertex has x coordinate 1, same as axis of symmetry.
y minimum at -4 means vertex is (1, -4). This given as MINIMUM value of parabola, so equation can be of the form:
.
x intercept -1 and vertex (1, -4) mean that the other x intercept is 1+2=3; or
.
Those two formulas for y must be equal.
Solve this for a.
.
.
Let x be 0 in either equation and find y, for y-intercept.
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