Answer:
{9} Slope: -1
Y-intercept = 0
Step-by-step explanation:
Slope-----
Recall slope-intercept form
y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0
We see that our slope, or coefficient on x, is −1.
Y-intercept-----
We can rewrite this equation as:y=1x+0
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
Hope this helps!
Answer:
x = 2 
Step-by-step explanation:
-26 = -15x + 8
-34 = -15x
x = 2
Answer:
C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left
Step-by-step explanation:
Here are some more examples:
<span><span>Let's find the vertex of the parabola given by the function:<span>f(x) = x2 - 4x + 7.</span></span><span>To complete the square we look at the middle term's coefficient.<span>b = -4</span></span><span><span>To make a perfect square we find (b/2)2.</span><span>(-4/2)2 = 4</span></span><span>We add 4 to the first two terms and subtract 4 from the constant term.<span>f(x) = x2 - 4x + 4 + 7 - 4 = x2 - 4x + 4 + 3.</span></span><span>We rewrite the expression as a perfect square.<span>x2 - 4x + 4 = (x - 2)2 which is (x + b/2)2.</span></span><span>We substitute the perfect square into the function.<span>f(x) = (x - 2)2 + 3.</span></span>According to the standard form of a quadratic function the vertex is (2,3).</span>
<span><span>Let's find the vertex of the parabola given by the function:<span>f(x) = x2 - 3x + 2.</span></span><span>To complete the square we first look at the middle term's coefficient.<span>b = -3.</span></span><span><span>To make a perfect square we find (b/2)2.</span><span>(-3/2)2 = 9/4</span></span><span>We add 9/4 to the first two termsn and subtract 9/4 from the constant term.<span>f(x) = x2 - 3x + 9/4 + 2 - 9/4 = x2 - 3x + 9/4 - 1/4.</span></span><span>We rewrite the expression as a perfect square.<span>x2 - 3x + 9/4 = (x - 3/2)2 which is (x + b/2)2.</span></span><span>We substitute the perfect square into the function.<span>f(x) = (x - 3/2)2 - 1/4.</span></span>According to the standard form of a quadratic function the vertex is (3/2,-1/4).</span>
<span><span>Let's find the vertex of the parabola given by the function:<span>f(x) = 2x2 + 4x - 3.</span></span><span>To complete the square we need to first factor out a factor of 2 from the first two terms.<span>f(x) = 2(x2 + 2x) - 3.</span></span><span>Next we look at the middle term's coefficient.<span>b = 2.</span></span><span><span>To make a perfect square in the parenthesis we find (b/2)2.</span><span>(2/2)2 = 1.</span></span><span>We add 1 inside the parenthesis, since the expression inside the parenthesis is multiplied by 2, we are really adding 2. We subtract 2 from the constant term.<span>f(x) = 2(x2 + 2x + 1) - 3 - 2 = 2(x2 + 2x + 1) - 5.</span></span><span>We rewrite the expression as a perfect square.<span>x2 + 2x + 1 = (x + 1)2 which is (x + b/2)2.</span></span><span>We substitute the perfect square into the function.<span>2(x + 1)2 - 5.</span></span><span>According to the standard form of a quadratic function the vertex is (-1,-5).
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