Which statement about the graph y= 4x - 10 is NOT true?
2 answers:
Answer:
D. The graph contains the point (4, -10)
Step-by-step explanation:
We have been given an equation of a function: . We are asked to find which of the given statements are not true about our given function.
A. The slope of the line can be written as 4/1.
We can see from our given equation that slope is 4 we can write 4 as 4/1 as it will not change value of 4, therefore, option A is true.
B. The graph crosses the y-axis 10 units below the origin.
Since we know that b represents y-intercept, where line crosses y-axis. y-intercept for our given equation is -10, which means that our given line crosses y-axis at -10 (10 units below the origin), therefore, option B is true.
C. The line has a constant rate of change.
We can see that slope of line is 4 which means with each increase in x, y will increase by 4 units, which remains constant, therefore, option C is true indeed.
D. The graph contains the point (4, -10)
Since we know that y-intercept is -10, which occurs at x equals 0, therefore, the graph does not contain the point (4,-10) and option D is not true.
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Answer:
Part 1) The graphs open downward
Part 2) The vertex is the point (-2,5)
Part 3) The axis of symmetry is x=-2
Step-by-step explanation:
step 1
we have
This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex is a maximum
step 2
The quadratic equation is written in vertex form
where
(h,k) is the vertex
so
In this problem
The vertex is the point (-2,5)
step 3
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
The x-coordinate of the vertex is -2
therefore
The axis of symmetry is x=-2